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12957336 = 2332747547
BaseRepresentation
bin110001011011…
…011010011000
3220101022010100
4301123122120
511304113321
61141415400
7215064330
oct61333230
926338110
1012957336
117350047
12440a560
1328b8982
141a140c0
15120e326
hexc5b698

12957336 has 96 divisors (see below), whose sum is σ = 41034240. Its totient is φ = 3616704.

The previous prime is 12957317. The next prime is 12957337. The reversal of 12957336 is 63375921.

12957336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12957336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12957337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23415 + ... + 23961.

It is an arithmetic number, because the mean of its divisors is an integer number (427440).

Almost surely, 212957336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12957336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20517120).

12957336 is an abundant number, since it is smaller than the sum of its proper divisors (28076904).

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

12957336 is a wasteful number, since it uses less digits than its factorization.

12957336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 606 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 12957336 is about 3599.6299809842. The cubic root of 12957336 is about 234.8759629114.

The spelling of 12957336 in words is "twelve million, nine hundred fifty-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 547 564 658 846 987 1094 1128 1316 1641 1692 1974 2188 2632 2961 3282 3384 3829 3948 4376 4923 5922 6564 7658 7896 9846 11487 11844 13128 15316 19692 22974 23688 25709 30632 34461 39384 45948 51418 68922 77127 91896 102836 137844 154254 179963 205672 231381 275688 308508 359926 462762 539889 617016 719852 925524 1079778 1439704 1619667 1851048 2159556 3239334 4319112 6478668 12957336