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12934656 = 29327401
BaseRepresentation
bin110001010101…
…111000000000
3220100011000100
4301111320000
511302402111
61141122400
7214641240
oct61257000
926304010
1012934656
117334aa9
1243b9400
1328ab557
141a09b20
151207756
hexc55e00

12934656 has 120 divisors (see below), whose sum is σ = 42769584. Its totient is φ = 3686400.

The previous prime is 12934643. The next prime is 12934661. The reversal of 12934656 is 65643921.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (38880) is a multiple of the sum of its prime factors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 12934656.

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, 32056 + ... + 32456.

Almost surely, 212934656 is an apocalyptic number.

12934656 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 12934656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21384792).

12934656 is an abundant number, since it is smaller than the sum of its proper divisors (29834928).

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

12934656 is an equidigital number, since it uses as much as digits as its factorization.

12934656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 12934656 is about 3596.4782774264. The cubic root of 12934656 is about 234.7388437301.

The spelling of 12934656 in words is "twelve million, nine hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 401 448 504 512 576 672 768 802 896 1008 1152 1203 1344 1536 1604 1792 2016 2304 2406 2688 2807 3208 3584 3609 4032 4608 4812 5376 5614 6416 7218 8064 8421 9624 10752 11228 12832 14436 16128 16842 19248 22456 25263 25664 28872 32256 33684 38496 44912 50526 51328 57744 67368 76992 89824 101052 102656 115488 134736 153984 179648 202104 205312 230976 269472 307968 359296 404208 461952 538944 615936 718592 808416 923904 1077888 1437184 1616832 1847808 2155776 3233664 4311552 6467328 12934656