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13713672 = 233781629
BaseRepresentation
bin110100010100…
…000100001000
3221210201121210
4310110010020
512002314142
61205533120
7224364360
oct64240410
927721553
1013713672
117817315
1247141a0
132ac1ccb
141b6d9a0
15130d49c
hexd14108

13713672 has 32 divisors (see below), whose sum is σ = 39182400. Its totient is φ = 3918144.

The previous prime is 13713659. The next prime is 13713673. The reversal of 13713672 is 27631731.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13713673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40647 + ... + 40982.

It is an arithmetic number, because the mean of its divisors is an integer number (1224450).

Almost surely, 213713672 is an apocalyptic number.

13713672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13713672 is an abundant number, since it is smaller than the sum of its proper divisors (25468728).

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

13713672 is a wasteful number, since it uses less digits than its factorization.

13713672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81645 (or 81641 counting only the distinct ones).

The product of its digits is 5292, while the sum is 30.

The square root of 13713672 is about 3703.1975372642. The cubic root of 13713672 is about 239.3598216782.

The spelling of 13713672 in words is "thirteen million, seven hundred thirteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 81629 163258 244887 326516 489774 571403 653032 979548 1142806 1714209 1959096 2285612 3428418 4571224 6856836 13713672