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12707856 = 2432721801
BaseRepresentation
bin110000011110…
…100000010000
3212220121220100
4300132200100
511223122411
61132212400
7213005100
oct60364020
925817810
1012707856
11719a667
12430a100
13282c255
14198b200
1511b0456
hexc1e810

12707856 has 90 divisors (see below), whose sum is σ = 41393742. Its totient is φ = 3628800.

The previous prime is 12707843. The next prime is 12707899. The reversal of 12707856 is 65870721.

It can be written as a sum of positive squares in only one way, i.e., 8643600 + 4064256 = 2940^2 + 2016^2 .

It is a super-2 number, since 2×127078562 = 322979208233472, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12707856.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6156 + ... + 7956.

Almost surely, 212707856 is an apocalyptic number.

12707856 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 12707856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20696871).

12707856 is an abundant number, since it is smaller than the sum of its proper divisors (28685886).

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

12707856 is a wasteful number, since it uses less digits than its factorization.

12707856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 12707856 is about 3564.8079892191. The cubic root of 12707856 is about 233.3587527862.

The spelling of 12707856 in words is "twelve million, seven hundred seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 1801 2352 3528 3602 5403 7056 7204 10806 12607 14408 16209 21612 25214 28816 32418 37821 43224 50428 64836 75642 86448 88249 100856 113463 129672 151284 176498 201712 226926 259344 264747 302568 352996 453852 529494 605136 705992 794241 907704 1058988 1411984 1588482 1815408 2117976 3176964 4235952 6353928 12707856