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12757056 = 2631319269
BaseRepresentation
bin110000101010…
…100001000000
3220000010101120
4300222201000
511231211211
61133232240
7213301404
oct60524100
926003346
1012757056
117223624
124332680
132848770
1419a1104
1511bed06
hexc2a840

12757056 has 112 divisors (see below), whose sum is σ = 38404800. Its totient is φ = 3704832.

The previous prime is 12757051. The next prime is 12757057. The reversal of 12757056 is 65075721.

It is not an unprimeable number, because it can be changed into a prime (12757051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47290 + ... + 47558.

It is an arithmetic number, because the mean of its divisors is an integer number (342900).

Almost surely, 212757056 is an apocalyptic number.

12757056 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 12757056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19202400).

12757056 is an abundant number, since it is smaller than the sum of its proper divisors (25647744).

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

12757056 is a wasteful number, since it uses less digits than its factorization.

12757056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 12757056 is about 3571.7021152386. The cubic root of 12757056 is about 233.6595238318.

The spelling of 12757056 in words is "twelve million, seven hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 269 304 312 416 456 494 538 608 624 741 807 832 912 988 1076 1216 1248 1482 1614 1824 1976 2152 2496 2964 3228 3497 3648 3952 4304 5111 5928 6456 6994 7904 8608 10222 10491 11856 12912 13988 15333 15808 17216 20444 20982 23712 25824 27976 30666 40888 41964 47424 51648 55952 61332 66443 81776 83928 111904 122664 132886 163552 167856 199329 223808 245328 265772 327104 335712 398658 490656 531544 671424 797316 981312 1063088 1594632 2126176 3189264 4252352 6378528 12757056