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12876576 = 2531131187
BaseRepresentation
bin110001000111…
…101100100000
3220020012100020
4301013230200
511244022301
61135553440
7214310016
oct61075440
926205306
1012876576
1172a53a9
12438b880
13288ac9b
1419d28b6
1511e5436
hexc47b20

12876576 has 48 divisors (see below), whose sum is σ = 34128864. Its totient is φ = 4250624.

The previous prime is 12876569. The next prime is 12876581. The reversal of 12876576 is 67567821.

It is a tau number, because it is divible by the number of its divisors (48).

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, 10255 + ... + 11441.

It is an arithmetic number, because the mean of its divisors is an integer number (711018).

Almost surely, 212876576 is an apocalyptic number.

12876576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12876576 is the 2270-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12876576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064432).

12876576 is an abundant number, since it is smaller than the sum of its proper divisors (21252288).

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

12876576 is a wasteful number, since it uses less digits than its factorization.

12876576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1305 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 12876576 is about 3588.3946271278. The cubic root of 12876576 is about 234.3869701975.

The spelling of 12876576 in words is "twelve million, eight hundred seventy-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1187 1356 1808 2374 2712 3561 3616 4748 5424 7122 9496 10848 14244 18992 28488 37984 56976 113952 134131 268262 402393 536524 804786 1073048 1609572 2146096 3219144 4292192 6438288 12876576