Prime factorisation2^8 × 3^4 × 5^3 × 617
Distinct prime factors42, 3, 5, 617
Number of divisors360
Sum of divisors σ(n)5,961,003,048
Aliquot sum4,361,739,048sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)425,779,200integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60, 64, 72, 75, 80, 81, 90, 96, 100, 108, 120, 125, 128, 135, 144, 150, 160, 162, 180, 192, 200, 216, 225, 240, 250, 256, 270, 288, 300, 320, 324, 360, 375, 384, 400, 405, 432, 450, 480, 500, 540, 576, 600, 617, 640, 648, 675, 720, 750, 768, 800, 810, 864, 900, 960, 1,000, 1,080, 1,125, 1,152, 1,200, 1,234, 1,280, 1,296, 1,350, 1,440, 1,500, 1,600, 1,620, 1,728, 1,800, 1,851, 1,920, 2,000, 2,025, 2,160, 2,250, 2,304, 2,400, 2,468, 2,592, 2,700, 2,880, 3,000, 3,085, 3,200, 3,240, 3,375, 3,456, 3,600, 3,702, 3,840, 4,000, 4,050, 4,320, 4,500, 4,800, 4,936, 5,184, 5,400, 5,553, 5,760, 6,000, 6,170, 6,400, 6,480, 6,750, 6,912, 7,200, 7,404, 8,000, 8,100, 8,640, 9,000, 9,255, 9,600, 9,872, 10,125, 10,368, 10,800, 11,106, 11,520, 12,000, 12,340, 12,960, 13,500, 14,400, 14,808, 15,425, 16,000, 16,200, 16,659, 17,280, 18,000, 18,510, 19,200, 19,744, 20,250, 20,736, 21,600, 22,212, 24,000, 24,680, 25,920, 27,000, 27,765, 28,800, 29,616, 30,850, 32,000, 32,400, 33,318, 34,560, 36,000, 37,020, 39,488, 40,500, 43,200, 44,424, 46,275, 48,000, 49,360, 49,977, 51,840, 54,000, 55,530, 57,600, 59,232, 61,700, 64,800, 66,636, 72,000, 74,040, 77,125, 78,976, 81,000, 83,295, 86,400, 88,848, 92,550, 96,000, 98,720, 99,954, 103,680, 108,000, 111,060, 118,464, 123,400, 129,600, 133,272, 138,825, 144,000, 148,080, 154,250, 157,952, 162,000, 166,590, 172,800, 177,696, 185,100, 197,440, 199,908, 216,000, 222,120, 231,375, 236,928, 246,800, 249,885, 259,200, 266,544, 277,650, 288,000, 296,160, 308,500, 324,000, 333,180, 355,392, 370,200, 394,880, 399,816, 416,475, 432,000, 444,240, 462,750, 473,856, 493,600, 499,770, 518,400, 533,088, 555,300, 592,320, 617,000, 648,000, 666,360, 694,125, 710,784, 740,400, 789,760, 799,632, 832,950, 864,000, 888,480, 925,500, 987,200, 999,540, 1,066,176, 1,110,600, 1,184,640, 1,234,000, 1,249,425, 1,296,000, 1,332,720, 1,388,250, 1,421,568, 1,480,800, 1,599,264, 1,665,900, 1,776,960, 1,851,000, 1,974,400, 1,999,080, 2,082,375, 2,132,352, 2,221,200, 2,369,280, 2,468,000, 2,498,850, 2,592,000, 2,665,440, 2,776,500, 2,961,600, 3,198,528, 3,331,800, 3,553,920, 3,702,000, 3,948,800, 3,998,160, 4,164,750, 4,264,704, 4,442,400, 4,936,000, 4,997,700, 5,330,880, 5,553,000, 5,923,200, 6,247,125, 6,397,056, 6,663,600, 7,107,840, 7,404,000, 7,996,320, 8,329,500, 8,884,800, 9,872,000, 9,995,400, 10,661,760, 11,106,000, 11,846,400, 12,494,250, 12,794,112, 13,327,200, 14,808,000, 15,992,640, 16,659,000, 17,769,600, 19,744,000, 19,990,800, 21,323,520, 22,212,000, 24,988,500, 26,654,400, 29,616,000, 31,985,280, 33,318,000, 35,539,200, 39,981,600, 44,424,000, 49,977,000, 53,308,800, 59,232,000, 63,970,560, 66,636,000, 79,963,200, 88,848,000, 99,954,000, 106,617,600, 133,272,000, 159,926,400, 177,696,000, 199,908,000, 266,544,000, 319,852,800, 399,816,000, 533,088,000, 799,632,000, 1,599,264,000360 in total