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13683960 = 2332538011
BaseRepresentation
bin110100001100…
…110011111000
3221202012212100
4310030303320
512000341320
61205143400
7224211633
oct64146370
927665770
1013683960
1177a6a64
1246bab60
132ab1624
141b62c1a
151304790
hexd0ccf8

13683960 has 48 divisors (see below), whose sum is σ = 44474040. Its totient is φ = 3648960.

The previous prime is 13683959. The next prime is 13683973. The reversal of 13683960 is 6938631.

It is a happy number.

13683960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×136839602 = 374501522563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 18646 + ... + 19365.

Almost surely, 213683960 is an apocalyptic number.

13683960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13683960 is an abundant number, since it is smaller than the sum of its proper divisors (30790080).

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

13683960 is a wasteful number, since it uses less digits than its factorization.

13683960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38028 (or 38021 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13683960 is about 3699.1836937357. The cubic root of 13683960 is about 239.1868312642.

The spelling of 13683960 in words is "thirteen million, six hundred eighty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 38011 76022 114033 152044 190055 228066 304088 342099 380110 456132 570165 684198 760220 912264 1140330 1368396 1520440 1710495 2280660 2736792 3420990 4561320 6841980 13683960