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13815696 = 2431716931
BaseRepresentation
bin110100101100…
…111110010000
3221222220120110
4310230332100
512014100241
61212041320
7225300666
oct64547620
927886513
1013815696
117886a34
124763240
132b2958b
141b98c36
15132d816
hexd2cf90

13815696 has 40 divisors (see below), whose sum is σ = 37792224. Its totient is φ = 4334080.

The previous prime is 13815691. The next prime is 13815721. The reversal of 13815696 is 69651831.

13815696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13815691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7650 + ... + 9281.

Almost surely, 213815696 is an apocalyptic number.

13815696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13815696 is an abundant number, since it is smaller than the sum of its proper divisors (23976528).

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

13815696 is a wasteful number, since it uses less digits than its factorization.

13815696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16959 (or 16953 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 13815696 is about 3716.9471344102. The cubic root of 13815696 is about 239.9519348190.

The spelling of 13815696 in words is "thirteen million, eight hundred fifteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 16931 33862 50793 67724 101586 135448 203172 270896 287827 406344 575654 812688 863481 1151308 1726962 2302616 3453924 4605232 6907848 13815696