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13886656 = 267139223
BaseRepresentation
bin110100111110…
…010011000000
3222010111220121
4310332103000
512023333111
61213350024
7226014610
oct64762300
928114817
1013886656
117925283
124798314
132b52974
141bb6a40
151344871
hexd3e4c0

13886656 has 56 divisors (see below), whose sum is σ = 31861760. Its totient is φ = 5882112.

The previous prime is 13886633. The next prime is 13886657. The reversal of 13886656 is 65668831.

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

It is not an unprimeable number, because it can be changed into a prime (13886657) 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, 62161 + ... + 62383.

It is an arithmetic number, because the mean of its divisors is an integer number (568960).

Almost surely, 213886656 is an apocalyptic number.

13886656 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 13886656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15930880).

13886656 is an abundant number, since it is smaller than the sum of its proper divisors (17975104).

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

13886656 is a wasteful number, since it uses less digits than its factorization.

13886656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The square root of 13886656 is about 3726.4803769777. The cubic root of 13886656 is about 240.3620461620.

The spelling of 13886656 in words is "thirteen million, eight hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 139 223 224 278 446 448 556 892 973 1112 1561 1784 1946 2224 3122 3568 3892 4448 6244 7136 7784 8896 12488 14272 15568 24976 30997 31136 49952 61994 62272 99904 123988 216979 247976 433958 495952 867916 991904 1735832 1983808 3471664 6943328 13886656