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12827412 = 22321327409
BaseRepresentation
bin110000111011…
…101100010100
3220010200220100
4300323230110
511240434122
61134534100
7214013463
oct60735424
926120810
1012827412
117271474
124367330
1328717b0
1419bc9da
1511d5aac
hexc3bb14

12827412 has 36 divisors (see below), whose sum is σ = 34920340. Its totient is φ = 3946752.

The previous prime is 12827411. The next prime is 12827443. The reversal of 12827412 is 21472821.

12827412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1089936 + 11737476 = 1044^2 + 3426^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12827411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13237 + ... + 14172.

Almost surely, 212827412 is an apocalyptic number.

12827412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12827412 is an abundant number, since it is smaller than the sum of its proper divisors (22092928).

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

12827412 is a wasteful number, since it uses less digits than its factorization.

12827412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27432 (or 27427 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 12827412 is about 3581.5376586042. The cubic root of 12827412 is about 234.0882857748.

The spelling of 12827412 in words is "twelve million, eight hundred twenty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 27409 54818 82227 109636 164454 246681 328908 356317 493362 712634 986724 1068951 1425268 2137902 3206853 4275804 6413706 12827412