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56687680 = 265725307
BaseRepresentation
bin1101100000111…
…1110001000000
310221200000212201
43120033301000
5104003001210
65343002544
71255560130
oct330176100
9127600781
1056687680
1129aa9325
1216b99454
13b98a40a
147758ac0
154e9b53a
hex360fc40

56687680 has 56 divisors (see below), whose sum is σ = 154277568. Its totient is φ = 19435008.

The previous prime is 56687677. The next prime is 56687681. The reversal of 56687680 is 8678665.

It is a happy number.

56687680 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 56687680.

It is not an unprimeable number, because it can be changed into a prime (56687681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10414 + ... + 14893.

Almost surely, 256687680 is an apocalyptic number.

It is an amenable number.

56687680 is an abundant number, since it is smaller than the sum of its proper divisors (97589888).

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

56687680 is a wasteful number, since it uses less digits than its factorization.

56687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25331 (or 25321 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 56687680 is about 7529.1221267821. The cubic root of 56687680 is about 384.1459225507.

The spelling of 56687680 in words is "fifty-six million, six hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 25307 50614 101228 126535 177149 202456 253070 354298 404912 506140 708596 809824 885745 1012280 1417192 1619648 1771490 2024560 2834384 3542980 4049120 5668768 7085960 8098240 11337536 14171920 28343840 56687680