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12887088 = 243172929
BaseRepresentation
bin110001001010…
…010000110000
3220020201202120
4301022100300
511244341323
61140114240
7214352454
oct61122060
926221676
1012887088
117302295
124395980
1328929c6
1419d6664
1511e85e3
hexc4a430

12887088 has 60 divisors (see below), whose sum is σ = 35403240. Its totient is φ = 4038656.

The previous prime is 12887087. The next prime is 12887089. The reversal of 12887088 is 88078821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12887087) and next prime (12887089).

It is not an unprimeable number, because it can be changed into a prime (12887087) 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, 13408 + ... + 14336.

It is an arithmetic number, because the mean of its divisors is an integer number (590054).

Almost surely, 212887088 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 12887088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17701620).

12887088 is an abundant number, since it is smaller than the sum of its proper divisors (22516152).

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

12887088 is a wasteful number, since it uses less digits than its factorization.

12887088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 12887088 is about 3589.8590501578. The cubic root of 12887088 is about 234.4507347071.

The spelling of 12887088 in words is "twelve million, eight hundred eighty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 816 867 929 1156 1734 1858 2312 2787 3468 3716 4624 5574 6936 7432 11148 13872 14864 15793 22296 31586 44592 47379 63172 94758 126344 189516 252688 268481 379032 536962 758064 805443 1073924 1610886 2147848 3221772 4295696 6443544 12887088