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10657136 = 24795153
BaseRepresentation
bin101000101001…
…110101110000
3202001102211202
4220221311300
510212012021
61020230332
7156404240
oct50516560
922042752
1010657136
116019956
12369b3a8
1322919c9
1415b5b20
15e07a0b
hexa29d70

10657136 has 20 divisors (see below), whose sum is σ = 23598192. Its totient is φ = 4567296.

The previous prime is 10657133. The next prime is 10657151. The reversal of 10657136 is 63175601.

It is a super-2 number, since 2×106571362 = 227149095444992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10657099 and 10657108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10657133) 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 3 ways as a sum of consecutive naturals, for example, 47465 + ... + 47688.

Almost surely, 210657136 is an apocalyptic number.

10657136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10657136 is an abundant number, since it is smaller than the sum of its proper divisors (12941056).

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

10657136 is an equidigital number, since it uses as much as digits as its factorization.

10657136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95168 (or 95162 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 10657136 is about 3264.5269182532. The cubic root of 10657136 is about 220.0629021236.

The spelling of 10657136 in words is "ten million, six hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 95153 190306 380612 666071 761224 1332142 1522448 2664284 5328568 10657136