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13930944 = 26337253
BaseRepresentation
bin110101001001…
…000111000000
3222012202122220
4311021013000
512031242234
61214331040
7226260666
oct65110700
928182586
1013930944
117955585
1247b9a80
132b69b81
141bc8c36
151352a49
hexd491c0

13930944 has 84 divisors (see below), whose sum is σ = 38596824. Its totient is φ = 4432896.

The previous prime is 13930927. The next prime is 13930957. The reversal of 13930944 is 44903931.

It is a super-2 number, since 2×139309442 = 388142401462272, which contains 22 as substring.

It is a congruent number.

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, 262822 + ... + 262874.

It is an arithmetic number, because the mean of its divisors is an integer number (459486).

Almost surely, 213930944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13930944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19298412).

13930944 is an abundant number, since it is smaller than the sum of its proper divisors (24665880).

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

13930944 is an equidigital number, since it uses as much as digits as its factorization.

13930944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 13930944 is about 3732.4179830239. The cubic root of 13930944 is about 240.6172997817.

The spelling of 13930944 in words is "thirteen million, nine hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 53 64 74 96 106 111 148 159 192 212 222 296 318 424 444 592 636 848 888 1184 1272 1369 1696 1776 1961 2368 2544 2738 3392 3552 3922 4107 5088 5476 5883 7104 7844 8214 10176 10952 11766 15688 16428 21904 23532 31376 32856 43808 47064 62752 65712 72557 87616 94128 125504 131424 145114 188256 217671 262848 290228 376512 435342 580456 870684 1160912 1741368 2321824 3482736 4643648 6965472 13930944