90087984000

素因数分解:

$2^7\times 3^3\times 5^3\times 7^1\times {\mathrm{31}}^3$

素因数の和:138

約数の個数: 1024

約数和(自身を含む): 391868006400

約数和(自身を除く): 301780022400

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, 28, 30, 31, 32, 35, 36, 40, 42, 45, 48, 50, 54, 56, 60, 62, 63, 64, 70, 72, 75, 80, 84, 90, 93, 96, 100, 105, 108, 112, 120, 124, 125, 126, 128, 135, 140, 144, 150, 155, 160, 168, 175, 180, 186, 189, 192, 200, 210, 216, 217, 224, 225, 240, 248, 250, 252, 270, 279, 280, 288, 300, 310, 315, 320, 336, 350, 360, 372, 375, 378, 384, 400, 420, 432, 434, 448, 450, 465, 480, 496, 500, 504, 525, 540, 558, 560, 576, 600, 620, 630, 640, 651, 672, 675, 700, 720, 744, 750, 756, 775, 800, 837, 840, 864, 868, 875, 896, 900, 930, 945, 960, 961, 992, 1000, 1008, 1050, 1080, 1085, 1116, 1120, 1125, 1152, 1200, 1240, 1260, 1302, 1344, 1350, 1395, 1400, 1440, 1488, 1500, 1512, 1550, 1575, 1600, 1674, 1680, 1728, 1736, 1750, 1800, 1860, 1890, 1920, 1922, 1953, 1984, 2000, 2016, 2100, 2160, 2170, 2232, 2240, 2250, 2325, 2400, 2480, 2520, 2604, 2625, 2688, 2700, 2790, 2800, 2880, 2883, 2976, 3000, 3024, 3100, 3150, 3200, 3255, 3348, 3360, 3375, 3456, 3472, 3500, 3600, 3720, 3780, 3844, 3875, 3906, 3968, 4000, 4032, 4185, 4200, 4320, 4340, 4464, 4480, 4500, 4650, 4725, 4800, 4805, 4960, 5040, 5208, 5250, 5400, 5425, 5580, 5600, 5760, 5766, 5859, 5952, 6000, 6048, 6200, 6300, 6510, 6696, 6720, 6727, 6750, 6944, 6975, 7000, 7200, 7440, 7560, 7688, 7750, 7812, 7875, 8000, 8064, 8370, 8400, 8640, 8649, 8680, 8928, 9000, 9300, 9450, 9600, 9610, 9765, 9920, 10080, 10416, 10500, 10800, 10850, 11160, 11200, 11532, 11625, 11718, 11904, 12000, 12096, 12400, 12600, 13020, 13392, 13440, 13454, 13500, 13888, 13950, 14000, 14400, 14415, 14880, 15120, 15376, 15500, 15624, 15750, 16000, 16275, 16740, 16800, 17280, 17298, 17360, 17856, 18000, 18600, 18900, 19220, 19530, 19840, 20160, 20181, 20832, 20925, 21000, 21600, 21700, 22320, 22400, 23064, 23250, 23436, 23625, 24000, 24025, 24192, 24800, 25200, 25947, 26040, 26784, 26908, 27000, 27125, 27776, 27900, 28000, 28800, 28830, 29295, 29760, 29791, 30240, 30752, 31000, 31248, 31500, 32550, 33480, 33600, 33635, 34596, 34720, 34875, 35712, 36000, 37200, 37800, 38440, 39060, 40320, 40362, 41664, 41850, 42000, 43200, 43245, 43400, 44640, 46128, 46500, 46872, 47250, 48000, 48050, 48825, 49600, 50400, 51894, 52080, 53568, 53816, 54000, 54250, 55800, 56000, 57660, 58590, 59520, 59582, 60480, 60543, 61504, 62000, 62496, 63000, 65100, 66960, 67200, 67270, 69192, 69440, 69750, 72000, 72075, 74400, 75600, 76880, 78120, 80724, 81375, 83328, 83700, 84000, 86400, 86490, 86800, 89280, 89373, 92256, 93000, 93744, 94500, 96100, 97650, 99200, 100800, 100905, 103788, 104160, 104625, 107136, 107632, 108000, 108500, 111600, 112000, 115320, 117180, 119164, 120125, 120960, 121086, 123008, 124000, 124992, 126000, 129735, 130200, 133920, 134540, 138384, 138880, 139500, 144000, 144150, 146475, 148800, 148955, 151200, 153760, 156240, 161448, 162750, 167400, 168000, 168175, 172980, 173600, 178560, 178746, 181629, 184512, 186000, 187488, 189000, 192200, 195300, 201600, 201810, 207576, 208320, 208537, 209250, 215264, 216000, 216225, 217000, 223200, 230640, 234360, 238328, 240250, 242172, 244125, 248000, 249984, 252000, 259470, 260400, 267840, 268119, 269080, 276768, 279000, 288300, 292950, 297600, 297910, 302400, 302715, 307520, 312480, 322896, 325500, 334800, 336000, 336350, 345960, 347200, 357492, 360375, 363258, 369024, 372000, 374976, 378000, 384400, 390600, 403620, 415152, 416640, 417074, 418500, 430528, 432000, 432450, 434000, 446400, 446865, 461280, 468720, 476656, 480500, 484344, 488250, 496000, 504000, 504525, 518940, 520800, 535680, 536238, 538160, 553536, 558000, 576600, 585900, 595820, 604800, 605430, 615040, 624960, 625611, 645792, 648675, 651000, 669600, 672700, 691920, 694400, 714984, 720750, 726516, 732375, 744000, 744775, 749952, 756000, 768800, 781200, 804357, 807240, 830304, 834148, 837000, 840875, 861056, 864900, 868000, 892800, 893730, 908145, 922560, 937440, 953312, 961000, 968688, 976500, 1008000, 1009050, 1037880, 1041600, 1042685, 1072476, 1076320, 1081125, 1107072, 1116000, 1153200, 1171800, 1191640, 1210860, 1249920, 1251222, 1291584, 1297350, 1302000, 1339200, 1340595, 1345400, 1383840, 1429968, 1441500, 1453032, 1464750, 1488000, 1489550, 1512000, 1513575, 1537600, 1562400, 1608714, 1614480, 1660608, 1668296, 1674000, 1681750, 1729800, 1736000, 1787460, 1816290, 1845120, 1874880, 1876833, 1906624, 1922000, 1937376, 1953000, 2018100, 2075760, 2083200, 2085370, 2144952, 2152640, 2162250, 2232000, 2234325, 2306400, 2343600, 2383280, 2421720, 2502444, 2522625, 2583168, 2594700, 2604000, 2678400, 2681190, 2690800, 2767680, 2859936, 2883000, 2906064, 2929500, 2979100, 3024000, 3027150, 3075200, 3124800, 3128055, 3217428, 3228960, 3243375, 3321216, 3336592, 3348000, 3363500, 3459600, 3472000, 3574920, 3632580, 3723875, 3749760, 3753666, 3813248, 3844000, 3874752, 3906000, 4021785, 4036200, 4151520, 4170740, 4289904, 4305280, 4324500, 4464000, 4468650, 4540725, 4612800, 4687200, 4766560, 4843440, 5004888, 5045250, 5189400, 5208000, 5213425, 5362380, 5381600, 5535360, 5630499, 5719872, 5766000, 5812128, 5859000, 5958200, 6054300, 6249600, 6256110, 6434856, 6457920, 6486750, 6673184, 6696000, 6702975, 6727000, 6919200, 7149840, 7265160, 7447750, 7507332, 7567875, 7688000, 7749504, 7812000, 8043570, 8072400, 8303040, 8341480, 8579808, 8649000, 8937300, 9081450, 9225600, 9374400, 9384165, 9533120, 9686880, 10009776, 10090500, 10378800, 10416000, 10426850, 10724760, 10763200, 11171625, 11260998, 11439744, 11532000, 11624256, 11718000, 11916400, 12108600, 12512220, 12869712, 12915840, 12973500, 13346368, 13392000, 13405950, 13454000, 13838400, 14299680, 14530320, 14895500, 15014664, 15135750, 15376000, 15624000, 15640275, 16087140, 16144800, 16606080, 16682960, 17159616, 17298000, 17874600, 18162900, 18748800, 18768330, 19066240, 19373760, 20019552, 20108925, 20181000, 20757600, 20853700, 21449520, 21526400, 22343250, 22521996, 22703625, 23064000, 23248512, 23436000, 23832800, 24217200, 25024440, 25739424, 25947000, 26067125, 26692736, 26811900, 26908000, 27676800, 28152495, 28599360, 29060640, 29791000, 30029328, 30271500, 31248000, 31280550, 32174280, 32289600, 33365920, 33514875, 34319232, 34596000, 35749200, 36325800, 37536660, 38747520, 40039104, 40217850, 40362000, 41515200, 41707400, 42899040, 44686500, 45043992, 45407250, 46128000, 46872000, 46920825, 47665600, 48434400, 50048880, 51478848, 51894000, 52134250, 53623800, 53816000, 56304990, 57198720, 58121280, 59582000, 60058656, 60543000, 62561100, 64348560, 64579200, 66731840, 67029750, 69192000, 71498400, 72651600, 75073320, 78201375, 80078208, 80435700, 80724000, 83030400, 83414800, 85798080, 89373000, 90087984, 90814500, 93744000, 93841650, 95331200, 96868800, 100097760, 100544625, 102957696, 103788000, 104268500, 107247600, 107632000, 112609980, 116242560, 119164000, 120117312, 121086000, 125122200, 128697120, 133463680, 134059500, 138384000, 140762475, 142996800, 145303200, 150146640, 156402750, 160871400, 161448000, 166829600, 171596160, 178746000, 180175968, 181629000, 187683300, 193737600, 200195520, 201089250, 207576000, 208537000, 214495200, 225219960, 234604125, 238328000, 240234624, 242172000, 250244400, 257394240, 268119000, 281524950, 285993600, 290606400, 300293280, 312805500, 321742800, 322896000, 333659200, 357492000, 360351936, 363258000, 375366600, 400391040, 402178500, 415152000, 417074000, 428990400, 450439920, 469208250, 476656000, 484344000, 500488800, 514788480, 536238000, 563049900, 581212800, 600586560, 625611000, 643485600, 667318400, 703812375, 714984000, 720703872, 726516000, 750733200, 804357000, 834148000, 857980800, 900879840, 938416500, 968688000, 1000977600, 1072476000, 1126099800, 1201173120, 1251222000, 1286971200, 1407624750, 1429968000, 1453032000, 1501466400, 1608714000, 1668296000, 1801759680, 1876833000, 2001955200, 2144952000, 2252199600, 2502444000, 2573942400, 2815249500, 2906064000, 3002932800, 3217428000, 3336592000, 3603519360, 3753666000, 4289904000, 4504399200, 5004888000, 5630499000, 6005865600, 6434856000, 7507332000, 9008798400, 10009776000, 11260998000, 12869712000, 15014664000, 18017596800, 22521996000, 30029328000, 45043992000, 90087984000]

約数ペア:

[(1, 90087984000), (2, 45043992000), (3, 30029328000), (4, 22521996000), (5, 18017596800), (6, 15014664000), (7, 12869712000), (8, 11260998000), (9, 10009776000), (10, 9008798400), (12, 7507332000), (14, 6434856000), (15, 6005865600), (16, 5630499000), (18, 5004888000), (20, 4504399200), (21, 4289904000), (24, 3753666000), (25, 3603519360), (27, 3336592000), (28, 3217428000), (30, 3002932800), (31, 2906064000), (32, 2815249500), (35, 2573942400), (36, 2502444000), (40, 2252199600), (42, 2144952000), (45, 2001955200), (48, 1876833000), (50, 1801759680), (54, 1668296000), (56, 1608714000), (60, 1501466400), (62, 1453032000), (63, 1429968000), (64, 1407624750), (70, 1286971200), (72, 1251222000), (75, 1201173120), (80, 1126099800), (84, 1072476000), (90, 1000977600), (93, 968688000), (96, 938416500), (100, 900879840), (105, 857980800), (108, 834148000), (112, 804357000), (120, 750733200), (124, 726516000), (125, 720703872), (126, 714984000), (128, 703812375), (135, 667318400), (140, 643485600), (144, 625611000), (150, 600586560), (155, 581212800), (160, 563049900), (168, 536238000), (175, 514788480), (180, 500488800), (186, 484344000), (189, 476656000), (192, 469208250), (200, 450439920), (210, 428990400), (216, 417074000), (217, 415152000), (224, 402178500), (225, 400391040), (240, 375366600), (248, 363258000), (250, 360351936), (252, 357492000), (270, 333659200), (279, 322896000), (280, 321742800), (288, 312805500), (300, 300293280), (310, 290606400), (315, 285993600), (320, 281524950), (336, 268119000), (350, 257394240), (360, 250244400), (372, 242172000), (375, 240234624), (378, 238328000), (384, 234604125), (400, 225219960), (420, 214495200), (432, 208537000), (434, 207576000), (448, 201089250), (450, 200195520), (465, 193737600), (480, 187683300), (496, 181629000), (500, 180175968), (504, 178746000), (525, 171596160), (540, 166829600), (558, 161448000), (560, 160871400), (576, 156402750), (600, 150146640), (620, 145303200), (630, 142996800), (640, 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(1922, 46872000), (1953, 46128000), (1984, 45407250), (2000, 45043992), (2016, 44686500), (2100, 42899040), (2160, 41707400), (2170, 41515200), (2232, 40362000), (2240, 40217850), (2250, 40039104), (2325, 38747520), (2400, 37536660), (2480, 36325800), (2520, 35749200), (2604, 34596000), (2625, 34319232), (2688, 33514875), (2700, 33365920), (2790, 32289600), (2800, 32174280), (2880, 31280550), (2883, 31248000), (2976, 30271500), (3000, 30029328), (3024, 29791000), (3100, 29060640), (3150, 28599360), (3200, 28152495), (3255, 27676800), (3348, 26908000), (3360, 26811900), (3375, 26692736), (3456, 26067125), (3472, 25947000), (3500, 25739424), (3600, 25024440), (3720, 24217200), (3780, 23832800), (3844, 23436000), (3875, 23248512), (3906, 23064000), (3968, 22703625), (4000, 22521996), (4032, 22343250), (4185, 21526400), (4200, 21449520), (4320, 20853700), (4340, 20757600), (4464, 20181000), (4480, 20108925), (4500, 20019552), (4650, 19373760), (4725, 19066240), (4800, 18768330), (4805, 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(11718, 7688000), (11904, 7567875), (12000, 7507332), (12096, 7447750), (12400, 7265160), (12600, 7149840), (13020, 6919200), (13392, 6727000), (13440, 6702975), (13454, 6696000), (13500, 6673184), (13888, 6486750), (13950, 6457920), (14000, 6434856), (14400, 6256110), (14415, 6249600), (14880, 6054300), (15120, 5958200), (15376, 5859000), (15500, 5812128), (15624, 5766000), (15750, 5719872), (16000, 5630499), (16275, 5535360), (16740, 5381600), (16800, 5362380), (17280, 5213425), (17298, 5208000), (17360, 5189400), (17856, 5045250), (18000, 5004888), (18600, 4843440), (18900, 4766560), (19220, 4687200), (19530, 4612800), (19840, 4540725), (20160, 4468650), (20181, 4464000), (20832, 4324500), (20925, 4305280), (21000, 4289904), (21600, 4170740), (21700, 4151520), (22320, 4036200), (22400, 4021785), (23064, 3906000), (23250, 3874752), (23436, 3844000), (23625, 3813248), (24000, 3753666), (24025, 3749760), (24192, 3723875), (24800, 3632580), (25200, 3574920), (25947, 3472000), (26040, 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(56000, 1608714), (57660, 1562400), (58590, 1537600), (59520, 1513575), (59582, 1512000), (60480, 1489550), (60543, 1488000), (61504, 1464750), (62000, 1453032), (62496, 1441500), (63000, 1429968), (65100, 1383840), (66960, 1345400), (67200, 1340595), (67270, 1339200), (69192, 1302000), (69440, 1297350), (69750, 1291584), (72000, 1251222), (72075, 1249920), (74400, 1210860), (75600, 1191640), (76880, 1171800), (78120, 1153200), (80724, 1116000), (81375, 1107072), (83328, 1081125), (83700, 1076320), (84000, 1072476), (86400, 1042685), (86490, 1041600), (86800, 1037880), (89280, 1009050), (89373, 1008000), (92256, 976500), (93000, 968688), (93744, 961000), (94500, 953312), (96100, 937440), (97650, 922560), (99200, 908145), (100800, 893730), (100905, 892800), (103788, 868000), (104160, 864900), (104625, 861056), (107136, 840875), (107632, 837000), (108000, 834148), (108500, 830304), (111600, 807240), (112000, 804357), (115320, 781200), (117180, 768800), (119164, 756000), (120125, 749952), (120960, 744775), (121086, 744000), (123008, 732375), (124000, 726516), (124992, 720750), (126000, 714984), (129735, 694400), (130200, 691920), (133920, 672700), (134540, 669600), (138384, 651000), (138880, 648675), (139500, 645792), (144000, 625611), (144150, 624960), (146475, 615040), (148800, 605430), (148955, 604800), (151200, 595820), (153760, 585900), (156240, 576600), (161448, 558000), (162750, 553536), (167400, 538160), (168000, 536238), (168175, 535680), (172980, 520800), (173600, 518940), (178560, 504525), (178746, 504000), (181629, 496000), (184512, 488250), (186000, 484344), (187488, 480500), (189000, 476656), (192200, 468720), (195300, 461280), (201600, 446865), (201810, 446400), (207576, 434000), (208320, 432450), (208537, 432000), (209250, 430528), (215264, 418500), (216000, 417074), (216225, 416640), (217000, 415152), (223200, 403620), (230640, 390600), (234360, 384400), (238328, 378000), (240250, 374976), (242172, 372000), (244125, 369024), (248000, 363258), (249984, 360375), (252000, 357492), (259470, 347200), (260400, 345960), (267840, 336350), (268119, 336000), (269080, 334800), (276768, 325500), (279000, 322896), (288300, 312480), (292950, 307520), (297600, 302715), (297910, 302400)]