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13362696 = 2332185593
BaseRepresentation
bin110010111110…
…011000001000
3221010220011200
4302332120020
511410101241
61154224200
7221403204
oct62763010
927126150
1013362696
1175a7656
124585060
1329cb329
141abbb04
15128e4b6
hexcbe608

13362696 has 24 divisors (see below), whose sum is σ = 36190830. Its totient is φ = 4454208.

The previous prime is 13362691. The next prime is 13362703. The reversal of 13362696 is 69626331.

It can be written as a sum of positive squares in only one way, i.e., 12744900 + 617796 = 3570^2 + 786^2 .

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 (36) coincides with the sum of the digits of its distinct prime factors.

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 self number, because there is not a number n which added to its sum of digits gives 13362696.

It is not an unprimeable number, because it can be changed into a prime (13362691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92725 + ... + 92868.

Almost surely, 213362696 is an apocalyptic number.

It is an amenable number.

13362696 is an abundant number, since it is smaller than the sum of its proper divisors (22828134).

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

13362696 is a wasteful number, since it uses less digits than its factorization.

13362696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185605 (or 185598 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 13362696 is about 3655.5021542874. The cubic root of 13362696 is about 237.3001591332.

The spelling of 13362696 in words is "thirteen million, three hundred sixty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 185593 371186 556779 742372 1113558 1484744 1670337 2227116 3340674 4454232 6681348 13362696