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14074656 = 253271541
BaseRepresentation
bin110101101100…
…001100100000
3222111001210120
4311230030200
512100342111
61221400240
7230426661
oct65541440
928431716
1014074656
117a43552
124869080
132bba3cb
141c25368
151380406
hexd6c320

14074656 has 48 divisors (see below), whose sum is σ = 37150848. Its totient is φ = 4665600.

The previous prime is 14074639. The next prime is 14074661. The reversal of 14074656 is 65647041.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25746 + ... + 26286.

It is an arithmetic number, because the mean of its divisors is an integer number (773976).

Almost surely, 214074656 is an apocalyptic number.

14074656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14074656 is an abundant number, since it is smaller than the sum of its proper divisors (23076192).

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

14074656 is a wasteful number, since it uses less digits than its factorization.

14074656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 14074656 is about 3751.6204498856. The cubic root of 14074656 is about 241.4418756851.

The spelling of 14074656 in words is "fourteen million, seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 541 542 813 1082 1084 1623 1626 2164 2168 3246 3252 4328 4336 6492 6504 8656 8672 12984 13008 17312 25968 26016 51936 146611 293222 439833 586444 879666 1172888 1759332 2345776 3518664 4691552 7037328 14074656