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12988680 = 2335176367
BaseRepresentation
bin110001100011…
…000100001000
3220102220010020
4301203010020
511311114210
61142220440
7215254605
oct61430410
926386106
1012988680
117371651
124424720
1328ca013
141a216ac
151218770
hexc63108

12988680 has 64 divisors (see below), whose sum is σ = 41264640. Its totient is φ = 3259392.

The previous prime is 12988643. The next prime is 12988681. The reversal of 12988680 is 8688921.

It is not an unprimeable number, because it can be changed into a prime (12988681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1144 + ... + 5223.

It is an arithmetic number, because the mean of its divisors is an integer number (644760).

Almost surely, 212988680 is an apocalyptic number.

12988680 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 12988680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632320).

12988680 is an abundant number, since it is smaller than the sum of its proper divisors (28275960).

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

12988680 is a wasteful number, since it uses less digits than its factorization.

12988680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6398 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 12988680 is about 3603.9811320261. The cubic root of 12988680 is about 235.0651999562.

The spelling of 12988680 in words is "twelve million, nine hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 6367 12734 19101 25468 31835 38202 50936 63670 76404 95505 108239 127340 152808 191010 216478 254680 324717 382020 432956 541195 649434 764040 865912 1082390 1298868 1623585 2164780 2597736 3247170 4329560 6494340 12988680