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12897696 = 2537171129
BaseRepresentation
bin110001001100…
…110110100000
3220021021022110
4301030312200
511300211241
61140235320
7214425420
oct61146640
926237273
1012897696
11730a259
12439bb40
132897796
1419da480
1511eb816
hexc4cda0

12897696 has 96 divisors (see below), whose sum is σ = 41005440. Its totient is φ = 3465216.

The previous prime is 12897683. The next prime is 12897697. The reversal of 12897696 is 69679821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12897697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10860 + ... + 11988.

It is an arithmetic number, because the mean of its divisors is an integer number (427140).

Almost surely, 212897696 is an apocalyptic number.

12897696 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 12897696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20502720).

12897696 is an abundant number, since it is smaller than the sum of its proper divisors (28107744).

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

12897696 is a wasteful number, since it uses less digits than its factorization.

12897696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 12897696 is about 3591.3362415680. The cubic root of 12897696 is about 234.5150463990.

The spelling of 12897696 in words is "twelve million, eight hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1129 1428 1632 1904 2258 2856 3387 3808 4516 5712 6774 7903 9032 11424 13548 15806 18064 19193 23709 27096 31612 36128 38386 47418 54192 57579 63224 76772 94836 108384 115158 126448 134351 153544 189672 230316 252896 268702 307088 379344 403053 460632 537404 614176 758688 806106 921264 1074808 1612212 1842528 2149616 3224424 4299232 6448848 12897696