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12756328 = 2313173709
BaseRepresentation
bin110000101010…
…010101101000
3220000002101121
4300222111220
511231200303
61133225024
7213266314
oct60522550
926002347
1012756328
117223022
124332174
132848330
1419a0b44
1511be9bd
hexc2a568

12756328 has 32 divisors (see below), whose sum is σ = 25943400. Its totient is φ = 5845248.

The previous prime is 12756319. The next prime is 12756343. The reversal of 12756328 is 82365721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9229444 + 3526884 = 3038^2 + 1878^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12756293 and 12756302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17638 + ... + 18346.

Almost surely, 212756328 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 12756328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12971700).

12756328 is an abundant number, since it is smaller than the sum of its proper divisors (13187072).

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

12756328 is a wasteful number, since it uses less digits than its factorization.

12756328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 897 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 12756328 is about 3571.6002015903. The cubic root of 12756328 is about 233.6550790401.

The spelling of 12756328 in words is "twelve million, seven hundred fifty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 173 346 692 709 1384 1418 2249 2836 4498 5672 8996 9217 17992 18434 36868 73736 122657 245314 490628 981256 1594541 3189082 6378164 12756328