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2560056084 = 2233294319009
BaseRepresentation
bin1001100010010111…
…0101101100010100
320121102012022202000
42120211311230110
520220333243314
61102010515300
7120304055235
oct23045655424
96542168660
102560056084
1110a40a3033
125b5435b30
1331a4c8ab1
141a400508c
15eeb40209
hex98975b14

2560056084 has 96 divisors (see below), whose sum is σ = 7026096000. Its totient is φ = 804722688.

The previous prime is 2560056073. The next prime is 2560056091. The reversal of 2560056084 is 4806500652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125172 + ... + 144180.

It is an arithmetic number, because the mean of its divisors is an integer number (73188500).

Almost surely, 22560056084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560056084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513048000).

2560056084 is an abundant number, since it is smaller than the sum of its proper divisors (4466039916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2560056084 is a wasteful number, since it uses less digits than its factorization.

2560056084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19094 (or 19086 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2560056084 is about 50596.9967883470. The cubic root of 2560056084 is about 1367.9907470904.

The spelling of 2560056084 in words is "two billion, five hundred sixty million, fifty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 43 54 58 86 87 108 116 129 172 174 258 261 348 387 516 522 774 783 1044 1161 1247 1548 1566 2322 2494 3132 3741 4644 4988 7482 11223 14964 19009 22446 33669 38018 44892 57027 67338 76036 114054 134676 171081 228108 342162 513243 551261 684324 817387 1026486 1102522 1634774 1653783 2052972 2205044 2452161 3269548 3307566 4904322 4961349 6615132 7356483 9808644 9922698 14712966 14884047 19845396 22069449 23704223 29425932 29768094 44138898 47408446 59536188 71112669 88277796 94816892 142225338 213338007 284450676 426676014 640014021 853352028 1280028042 2560056084