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12990880 = 255721657
BaseRepresentation
bin110001100011…
…100110100000
3220110000010201
4301203212200
511311202010
61142234544
7215264200
oct61434640
926400121
1012990880
117373271
124425a54
1328cb016
141a22400
15121923a
hexc639a0

12990880 has 72 divisors (see below), whose sum is σ = 35723268. Its totient is φ = 4451328.

The previous prime is 12990871. The next prime is 12990899. The reversal of 12990880 is 8809921.

It can be written as a sum of positive squares in 2 ways, for example, as 12645136 + 345744 = 3556^2 + 588^2 .

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, 7012 + ... + 8668.

Almost surely, 212990880 is an apocalyptic number.

12990880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17861634).

12990880 is an abundant number, since it is smaller than the sum of its proper divisors (22732388).

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

12990880 is a wasteful number, since it uses less digits than its factorization.

12990880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 12990880 is about 3604.2863371269. The cubic root of 12990880 is about 235.0784708517.

The spelling of 12990880 in words is "twelve million, nine hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1657 1960 3314 3920 6628 7840 8285 11599 13256 16570 23198 26512 33140 46396 53024 57995 66280 81193 92792 115990 132560 162386 185584 231980 265120 324772 371168 405965 463960 649544 811930 927920 1299088 1623860 1855840 2598176 3247720 6495440 12990880