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56580131 = 1722943157
BaseRepresentation
bin1101011111010…
…1100000100011
310221110120100102
43113311200203
5103441031011
65340413015
71254631436
oct327654043
9127416312
1056580131
1129a35543
1216b4716b
13b95048a
14772b81d
154e7973b
hex35f5823

56580131 has 24 divisors (see below), whose sum is σ = 64027920. Its totient is φ = 49900032.

The previous prime is 56580127. The next prime is 56580133. The reversal of 56580131 is 13108565.

It is not a de Polignac number, because 56580131 - 22 = 56580127 is a prime.

It is a super-2 number, since 2×565801312 = 6402622447954322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56580094 and 56580103.

It is not an unprimeable number, because it can be changed into a prime (56580133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360305 + ... + 360461.

It is an arithmetic number, because the mean of its divisors is an integer number (2667830).

Almost surely, 256580131 is an apocalyptic number.

56580131 is a deficient number, since it is larger than the sum of its proper divisors (7447789).

56580131 is a wasteful number, since it uses less digits than its factorization.

56580131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 56580131 is about 7521.9765354593. The cubic root of 56580131 is about 383.9028323121.

Adding to 56580131 its reverse (13108565), we get a palindrome (69688696).

The spelling of 56580131 in words is "fifty-six million, five hundred eighty thousand, one hundred thirty-one".

Divisors: 1 17 29 43 157 289 493 731 1247 2669 4553 6751 8381 12427 21199 45373 77401 114767 195779 360383 1315817 1951039 3328243 56580131