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12957696 = 211321937
BaseRepresentation
bin110001011011…
…100000000000
3220101022121200
4301123200000
511304121241
61141421200
7215065353
oct61334000
926338550
1012957696
117350344
12440a800
1328b8b9b
141a1429a
15120e4b6
hexc5b800

12957696 has 144 divisors (see below), whose sum is σ = 40458600. Its totient is φ = 3981312.

The previous prime is 12957673. The next prime is 12957731. The reversal of 12957696 is 69675921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (204120) is a multiple of the sum of its prime factors (84).

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, 350190 + ... + 350226.

Almost surely, 212957696 is an apocalyptic number.

12957696 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 12957696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20229300).

12957696 is an abundant number, since it is smaller than the sum of its proper divisors (27500904).

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

12957696 is a wasteful number, since it uses less digits than its factorization.

12957696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 12957696 is about 3599.6799857765. The cubic root of 12957696 is about 234.8781381158.

The spelling of 12957696 in words is "twelve million, nine hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 37 38 48 57 64 72 74 76 96 111 114 128 144 148 152 171 192 222 228 256 288 296 304 333 342 384 444 456 512 576 592 608 666 684 703 768 888 912 1024 1152 1184 1216 1332 1368 1406 1536 1776 1824 2048 2109 2304 2368 2432 2664 2736 2812 3072 3552 3648 4218 4608 4736 4864 5328 5472 5624 6144 6327 7104 7296 8436 9216 9472 9728 10656 10944 11248 12654 14208 14592 16872 18432 18944 19456 21312 21888 22496 25308 28416 29184 33744 37888 38912 42624 43776 44992 50616 56832 58368 67488 75776 85248 87552 89984 101232 113664 116736 134976 170496 175104 179968 202464 227328 269952 340992 350208 359936 404928 539904 681984 719872 809856 1079808 1439744 1619712 2159616 3239424 4319232 6478848 12957696