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13692384 = 253247543
BaseRepresentation
bin110100001110…
…110111100000
3221202122102100
4310032313200
512001124014
61205250400
7224245326
oct64166740
927678370
1013692384
117802322
124703a00
132ab5404
141b65d16
151307009
hexd0ede0

13692384 has 36 divisors (see below), whose sum is σ = 38938536. Its totient is φ = 4564032.

The previous prime is 13692347. The next prime is 13692409. The reversal of 13692384 is 48329631.

13692384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23484 + ... + 24059.

It is an arithmetic number, because the mean of its divisors is an integer number (1081626).

Almost surely, 213692384 is an apocalyptic number.

It is an amenable number.

13692384 is an abundant number, since it is smaller than the sum of its proper divisors (25246152).

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

13692384 is a wasteful number, since it uses less digits than its factorization.

13692384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47559 (or 47548 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13692384 is about 3700.3221481379. The cubic root of 13692384 is about 239.2359032322.

The spelling of 13692384 in words is "thirteen million, six hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 47543 95086 142629 190172 285258 380344 427887 570516 760688 855774 1141032 1521376 1711548 2282064 3423096 4564128 6846192 13692384