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56800107 = 32713223311
BaseRepresentation
bin1101100010101…
…1001101101011
310221212202002200
43120223031223
5104020100412
65345231243
71256535660
oct330531553
9127782080
1056800107
112a075841
1217032523
13b9c9640
147787a67
154ebe9dc
hex362b36b

56800107 has 48 divisors (see below), whose sum is σ = 101756928. Its totient is φ = 29730240.

The previous prime is 56800103. The next prime is 56800123. The reversal of 56800107 is 70100865.

It is not a de Polignac number, because 56800107 - 22 = 56800103 is a prime.

It is a super-2 number, since 2×568001072 = 6452504310422898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56800103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182482 + ... + 182792.

It is an arithmetic number, because the mean of its divisors is an integer number (2119936).

Almost surely, 256800107 is an apocalyptic number.

56800107 is a deficient number, since it is larger than the sum of its proper divisors (44956821).

56800107 is a wasteful number, since it uses less digits than its factorization.

56800107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 56800107 is about 7536.5845712763. The cubic root of 56800107 is about 384.3997099324.

The spelling of 56800107 in words is "fifty-six million, eight hundred thousand, one hundred seven".

Divisors: 1 3 7 9 13 21 39 63 91 117 223 273 311 669 819 933 1561 2007 2177 2799 2899 4043 4683 6531 8697 12129 14049 19593 20293 26091 28301 36387 60879 69353 84903 182637 208059 254709 485471 624177 901589 1456413 2704767 4369239 6311123 8114301 18933369 56800107