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13643424 = 253315791
BaseRepresentation
bin110100000010…
…111010100000
3221200011021000
4310002322200
511443042144
61204232000
7223652514
oct64027240
927604230
1013643424
117779563
12469b600
132a99042
141b52144
1512e7769
hexd02ea0

13643424 has 48 divisors (see below), whose sum is σ = 39795840. Its totient is φ = 4547520.

The previous prime is 13643407. The next prime is 13643437. The reversal of 13643424 is 42434631.

13643424 is a `hidden beast` number, since 13 + 643 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×136434242 = 372286036887552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7032 + ... + 8759.

It is an arithmetic number, because the mean of its divisors is an integer number (829080).

Almost surely, 213643424 is an apocalyptic number.

It is an amenable number.

13643424 is an abundant number, since it is smaller than the sum of its proper divisors (26152416).

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

13643424 is a wasteful number, since it uses less digits than its factorization.

13643424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15810 (or 15796 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 13643424 is about 3693.7005834258. The cubic root of 13643424 is about 238.9504165856.

The spelling of 13643424 in words is "thirteen million, six hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 15791 31582 47373 63164 94746 126328 142119 189492 252656 284238 378984 426357 505312 568476 757968 852714 1136952 1515936 1705428 2273904 3410856 4547808 6821712 13643424