Prime factorisation2^8 × 3^2 × 5^7 × 7
Distinct prime factors42, 3, 5, 7
Number of divisors432
Sum of divisors σ(n)5,189,830,464
Aliquot sum3,929,830,464sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)288,000,000integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 28, 30, 32, 35, 36, 40, 42, 45, 48, 50, 56, 60, 63, 64, 70, 72, 75, 80, 84, 90, 96, 100, 105, 112, 120, 125, 126, 128, 140, 144, 150, 160, 168, 175, 180, 192, 200, 210, 224, 225, 240, 250, 252, 256, 280, 288, 300, 315, 320, 336, 350, 360, 375, 384, 400, 420, 448, 450, 480, 500, 504, 525, 560, 576, 600, 625, 630, 640, 672, 700, 720, 750, 768, 800, 840, 875, 896, 900, 960, 1,000, 1,008, 1,050, 1,120, 1,125, 1,152, 1,200, 1,250, 1,260, 1,280, 1,344, 1,400, 1,440, 1,500, 1,575, 1,600, 1,680, 1,750, 1,792, 1,800, 1,875, 1,920, 2,000, 2,016, 2,100, 2,240, 2,250, 2,304, 2,400, 2,500, 2,520, 2,625, 2,688, 2,800, 2,880, 3,000, 3,125, 3,150, 3,200, 3,360, 3,500, 3,600, 3,750, 3,840, 4,000, 4,032, 4,200, 4,375, 4,480, 4,500, 4,800, 5,000, 5,040, 5,250, 5,376, 5,600, 5,625, 5,760, 6,000, 6,250, 6,300, 6,400, 6,720, 7,000, 7,200, 7,500, 7,875, 8,000, 8,064, 8,400, 8,750, 8,960, 9,000, 9,375, 9,600, 10,000, 10,080, 10,500, 11,200, 11,250, 11,520, 12,000, 12,500, 12,600, 13,125, 13,440, 14,000, 14,400, 15,000, 15,625, 15,750, 16,000, 16,128, 16,800, 17,500, 18,000, 18,750, 19,200, 20,000, 20,160, 21,000, 21,875, 22,400, 22,500, 24,000, 25,000, 25,200, 26,250, 26,880, 28,000, 28,125, 28,800, 30,000, 31,250, 31,500, 32,000, 33,600, 35,000, 36,000, 37,500, 39,375, 40,000, 40,320, 42,000, 43,750, 44,800, 45,000, 46,875, 48,000, 50,000, 50,400, 52,500, 56,000, 56,250, 57,600, 60,000, 62,500, 63,000, 65,625, 67,200, 70,000, 72,000, 75,000, 78,125, 78,750, 80,000, 80,640, 84,000, 87,500, 90,000, 93,750, 96,000, 100,000, 100,800, 105,000, 109,375, 112,000, 112,500, 120,000, 125,000, 126,000, 131,250, 134,400, 140,000, 140,625, 144,000, 150,000, 156,250, 157,500, 160,000, 168,000, 175,000, 180,000, 187,500, 196,875, 200,000, 201,600, 210,000, 218,750, 224,000, 225,000, 234,375, 240,000, 250,000, 252,000, 262,500, 280,000, 281,250, 288,000, 300,000, 312,500, 315,000, 328,125, 336,000, 350,000, 360,000, 375,000, 393,750, 400,000, 403,200, 420,000, 437,500, 450,000, 468,750, 480,000, 500,000, 504,000, 525,000, 546,875, 560,000, 562,500, 600,000, 625,000, 630,000, 656,250, 672,000, 700,000, 703,125, 720,000, 750,000, 787,500, 800,000, 840,000, 875,000, 900,000, 937,500, 984,375, 1,000,000, 1,008,000, 1,050,000, 1,093,750, 1,120,000, 1,125,000, 1,200,000, 1,250,000, 1,260,000, 1,312,500, 1,400,000, 1,406,250, 1,440,000, 1,500,000, 1,575,000, 1,640,625, 1,680,000, 1,750,000, 1,800,000, 1,875,000, 1,968,750, 2,000,000, 2,016,000, 2,100,000, 2,187,500, 2,250,000, 2,400,000, 2,500,000, 2,520,000, 2,625,000, 2,800,000, 2,812,500, 3,000,000, 3,150,000, 3,281,250, 3,360,000, 3,500,000, 3,600,000, 3,750,000, 3,937,500, 4,000,000, 4,200,000, 4,375,000, 4,500,000, 4,921,875, 5,000,000, 5,040,000, 5,250,000, 5,600,000, 5,625,000, 6,000,000, 6,300,000, 6,562,500, 7,000,000, 7,200,000, 7,500,000, 7,875,000, 8,400,000, 8,750,000, 9,000,000, 9,843,750, 10,000,000, 10,080,000, 10,500,000, 11,250,000, 12,000,000, 12,600,000, 13,125,000, 14,000,000, 15,000,000, 15,750,000, 16,800,000, 17,500,000, 18,000,000, 19,687,500, 20,000,000, 21,000,000, 22,500,000, 25,200,000, 26,250,000, 28,000,000, 30,000,000, 31,500,000, 35,000,000, 36,000,000, 39,375,000, 42,000,000, 45,000,000, 50,400,000, 52,500,000, 60,000,000, 63,000,000, 70,000,000, 78,750,000, 84,000,000, 90,000,000, 105,000,000, 126,000,000, 140,000,000, 157,500,000, 180,000,000, 210,000,000, 252,000,000, 315,000,000, 420,000,000, 630,000,000, 1,260,000,000432 in total