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13680816 = 243421677
BaseRepresentation
bin110100001100…
…000010110000
3221202001112220
4310030002300
512000241231
61205121040
7224166522
oct64140260
927661486
1013680816
1177a4666
1246b9180
132ab0076
141b61a12
151303896
hexd0c0b0

13680816 has 40 divisors (see below), whose sum is σ = 35478384. Its totient is φ = 4542720.

The previous prime is 13680809. The next prime is 13680829. The reversal of 13680816 is 61808631.

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, 19870 + ... + 20546.

Almost surely, 213680816 is an apocalyptic number.

13680816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13680816 is an abundant number, since it is smaller than the sum of its proper divisors (21797568).

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

13680816 is a wasteful number, since it uses less digits than its factorization.

13680816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13680816 is about 3698.7587107028. The cubic root of 13680816 is about 239.1685114943.

The spelling of 13680816 in words is "thirteen million, six hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 421 677 842 1263 1354 1684 2031 2526 2708 3368 4062 5052 5416 6736 8124 10104 10832 16248 20208 32496 285017 570034 855051 1140068 1710102 2280136 3420204 4560272 6840408 13680816