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13296168 = 2332184669
BaseRepresentation
bin110010101110…
…001000101000
3221000111220200
4302232020220
511400434133
61152552200
7221005224
oct62561050
927014820
1013296168
117561676
124552660
1329a6c72
141aa1784
151279913
hexcae228

13296168 has 24 divisors (see below), whose sum is σ = 36010650. Its totient is φ = 4432032.

The previous prime is 13296161. The next prime is 13296169. The reversal of 13296168 is 86169231.

13296168 is a `hidden beast` number, since 1 + 32 + 9 + 616 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12659364 + 636804 = 3558^2 + 798^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13296161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92263 + ... + 92406.

Almost surely, 213296168 is an apocalyptic number.

13296168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13296168 is an abundant number, since it is smaller than the sum of its proper divisors (22714482).

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

13296168 is a wasteful number, since it uses less digits than its factorization.

13296168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184681 (or 184674 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 13296168 is about 3646.3910925736. The cubic root of 13296168 is about 236.9056933979.

The spelling of 13296168 in words is "thirteen million, two hundred ninety-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 184669 369338 554007 738676 1108014 1477352 1662021 2216028 3324042 4432056 6648084 13296168