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12688680 = 2335412579
BaseRepresentation
bin110000011001…
…110100101000
3212212122121010
4300121310220
511222014210
61131543520
7212565144
oct60316450
925778533
1012688680
117187214
1242baba0
1328235c4
141984224
1511a9920
hexc19d28

12688680 has 64 divisors (see below), whose sum is σ = 39009600. Its totient is φ = 3299840.

The previous prime is 12688679. The next prime is 12688693. The reversal of 12688680 is 8688621.

It is a super-2 number, since 2×126886802 = 322005200284800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3631 + ... + 6209.

It is an arithmetic number, because the mean of its divisors is an integer number (609525).

Almost surely, 212688680 is an apocalyptic number.

12688680 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 12688680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19504800).

12688680 is an abundant number, since it is smaller than the sum of its proper divisors (26320920).

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

12688680 is a wasteful number, since it uses less digits than its factorization.

12688680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 12688680 is about 3562.1173478705. The cubic root of 12688680 is about 233.2413151901.

The spelling of 12688680 in words is "twelve million, six hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 2579 4920 5158 7737 10316 12895 15474 20632 25790 30948 38685 51580 61896 77370 103160 105739 154740 211478 309480 317217 422956 528695 634434 845912 1057390 1268868 1586085 2114780 2537736 3172170 4229560 6344340 12688680