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12879680 = 265113659
BaseRepresentation
bin110001001000…
…011101000000
3220020100121012
4301020131000
511244122210
61140020052
7214322042
oct61103500
926210535
1012879680
1172a7770
124391628
13288c518
1419d3a92
1511e6305
hexc48740

12879680 has 56 divisors (see below), whose sum is σ = 33467040. Its totient is φ = 4682240.

The previous prime is 12879679. The next prime is 12879707. The reversal of 12879680 is 8697821.

It is a congruent number.

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, 1691 + ... + 5349.

Almost surely, 212879680 is an apocalyptic number.

12879680 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 12879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16733520).

12879680 is an abundant number, since it is smaller than the sum of its proper divisors (20587360).

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

12879680 is a wasteful number, since it uses less digits than its factorization.

12879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 12879680 is about 3588.8271064514. The cubic root of 12879680 is about 234.4058022924.

The spelling of 12879680 in words is "twelve million, eight hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 3659 7318 14636 18295 29272 36590 40249 58544 73180 80498 117088 146360 160996 201245 234176 292720 321992 402490 585440 643984 804980 1170880 1287968 1609960 2575936 3219920 6439840 12879680