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12939696 = 2433711389
BaseRepresentation
bin110001010111…
…000110110000
3220100101221000
4301113012300
511303032241
61141202000
7214662030
oct61270660
926311830
1012939696
117338870
124400300
1328b0933
141a0b8c0
151208eb6
hexc571b0

12939696 has 160 divisors (see below), whose sum is σ = 46425600. Its totient is φ = 3352320.

The previous prime is 12939683. The next prime is 12939697. The reversal of 12939696 is 69693921.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12939697) 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 31 ways as a sum of consecutive naturals, for example, 33070 + ... + 33458.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 212939696 is an apocalyptic number.

12939696 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 12939696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23212800).

12939696 is an abundant number, since it is smaller than the sum of its proper divisors (33485904).

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

12939696 is a wasteful number, since it uses less digits than its factorization.

12939696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 12939696 is about 3597.1788946340. The cubic root of 12939696 is about 234.7693285027.

The spelling of 12939696 in words is "twelve million, nine hundred thirty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 389 396 432 462 504 528 594 616 693 756 778 792 924 1008 1167 1188 1232 1386 1512 1556 1584 1848 2079 2334 2376 2723 2772 3024 3112 3501 3696 4158 4279 4668 4752 5446 5544 6224 7002 8169 8316 8558 9336 10503 10892 11088 12837 14004 16338 16632 17116 18672 21006 21784 24507 25674 28008 29953 32676 33264 34232 38511 42012 43568 49014 51348 56016 59906 65352 68464 73521 77022 84024 89859 98028 102696 115533 119812 130704 147042 154044 168048 179718 196056 205392 231066 239624 269577 294084 308088 359436 392112 462132 479248 539154 588168 616176 718872 808731 924264 1078308 1176336 1437744 1617462 1848528 2156616 3234924 4313232 6469848 12939696