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13930656 = 253312151
BaseRepresentation
bin110101001001…
…000010100000
3222012202021020
4311021002200
512031240111
61214325440
7226260105
oct65110240
928182236
1013930656
117955343
1247b9880
132b699bc
141bc8aac
151352906
hexd490a0

13930656 has 72 divisors (see below), whose sum is σ = 38035872. Its totient is φ = 4464000.

The previous prime is 13930649. The next prime is 13930669. The reversal of 13930656 is 65603931.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92181 + ... + 92331.

It is an arithmetic number, because the mean of its divisors is an integer number (528276).

Almost surely, 213930656 is an apocalyptic number.

13930656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13930656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19017936).

13930656 is an abundant number, since it is smaller than the sum of its proper divisors (24105216).

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

13930656 is a wasteful number, since it uses less digits than its factorization.

13930656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 13930656 is about 3732.3794019365. The cubic root of 13930656 is about 240.6156416442.

The spelling of 13930656 in words is "thirteen million, nine hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 151 186 248 302 372 453 496 604 744 906 961 992 1208 1488 1812 1922 2416 2883 2976 3624 3844 4681 4832 5766 7248 7688 9362 11532 14043 14496 15376 18724 23064 28086 30752 37448 46128 56172 74896 92256 112344 145111 149792 224688 290222 435333 449376 580444 870666 1160888 1741332 2321776 3482664 4643552 6965328 13930656