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13827384 = 2332192047
BaseRepresentation
bin110100101111…
…110100111000
3222000111121100
4310233310320
512014434014
61212211400
7225350034
oct64576470
928014540
1013827384
11789479a
124769b60
132b319ac
141b9d1c4
151332009
hexd2fd38

13827384 has 24 divisors (see below), whose sum is σ = 37449360. Its totient is φ = 4609104.

The previous prime is 13827377. The next prime is 13827397. The reversal of 13827384 is 48372831.

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

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 5 ways as a sum of consecutive naturals, for example, 95952 + ... + 96095.

It is an arithmetic number, because the mean of its divisors is an integer number (1560390).

Almost surely, 213827384 is an apocalyptic number.

It is an amenable number.

13827384 is an abundant number, since it is smaller than the sum of its proper divisors (23621976).

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

13827384 is a wasteful number, since it uses less digits than its factorization.

13827384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192059 (or 192052 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 13827384 is about 3718.5190600560. The cubic root of 13827384 is about 240.0195817356.

The spelling of 13827384 in words is "thirteen million, eight hundred twenty-seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 192047 384094 576141 768188 1152282 1536376 1728423 2304564 3456846 4609128 6913692 13827384