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13704864 = 253142759
BaseRepresentation
bin110100010001…
…111010100000
3221210021112120
4310101322200
512002023424
61205424240
7224326605
oct64217240
927707476
1013704864
117810738
12470b080
132abacb4
141b6a6ac
15130aa79
hexd11ea0

13704864 has 24 divisors (see below), whose sum is σ = 35975520. Its totient is φ = 4568256.

The previous prime is 13704857. The next prime is 13704869. The reversal of 13704864 is 46840731.

13704864 = 12302 + 12312 + ... + 12382.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13704869) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71284 + ... + 71475.

It is an arithmetic number, because the mean of its divisors is an integer number (1498980).

Almost surely, 213704864 is an apocalyptic number.

It is an amenable number.

13704864 is an abundant number, since it is smaller than the sum of its proper divisors (22270656).

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

13704864 is a wasteful number, since it uses less digits than its factorization.

13704864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142772 (or 142764 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 13704864 is about 3702.0081037188. The cubic root of 13704864 is about 239.3085654614.

The spelling of 13704864 in words is "thirteen million, seven hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 142759 285518 428277 571036 856554 1142072 1713108 2284144 3426216 4568288 6852432 13704864