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12876264 = 2332434159
BaseRepresentation
bin110001000111…
…100111101000
3220020011220200
4301013213220
511244020024
61135552200
7214306062
oct61074750
926204820
1012876264
1172a5145
12438b660
13288aabb
1419d2732
1511e52c9
hexc479e8

12876264 has 48 divisors (see below), whose sum is σ = 35692800. Its totient is φ = 4191264.

The previous prime is 12876257. The next prime is 12876271. The reversal of 12876264 is 46267821.

12876264 is a `hidden beast` number, since 1 + 28 + 7 + 626 + 4 = 666.

12876264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12876257) and next prime (12876271).

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

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1017 + ... + 5175.

It is an arithmetic number, because the mean of its divisors is an integer number (743600).

Almost surely, 212876264 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 12876264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17846400).

12876264 is an abundant number, since it is smaller than the sum of its proper divisors (22816536).

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

12876264 is a wasteful number, since it uses less digits than its factorization.

12876264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4207 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12876264 is about 3588.3511533851. The cubic root of 12876264 is about 234.3850771134.

The spelling of 12876264 in words is "twelve million, eight hundred seventy-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 4159 8318 12477 16636 24954 33272 37431 49908 74862 99816 149724 178837 299448 357674 536511 715348 1073022 1430696 1609533 2146044 3219066 4292088 6438132 12876264