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13145965 = 57253657
BaseRepresentation
bin110010001001…
…011101101101
3220201212212121
4302021131231
511331132330
61145432541
7216511300
oct62113555
926655777
1013145965
117469838
12449b751
1329537a1
141a62b37
15124a17a
hexc8976d

13145965 has 12 divisors (see below), whose sum is σ = 18351036. Its totient is φ = 9014208.

The previous prime is 13145963. The next prime is 13145969. The reversal of 13145965 is 56954131.

It can be written as a sum of positive squares in 2 ways, for example, as 7414729 + 5731236 = 2723^2 + 2394^2 .

It is not a de Polignac number, because 13145965 - 21 = 13145963 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13145965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13145963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26584 + ... + 27073.

It is an arithmetic number, because the mean of its divisors is an integer number (1529253).

Almost surely, 213145965 is an apocalyptic number.

It is an amenable number.

13145965 is a deficient number, since it is larger than the sum of its proper divisors (5205071).

13145965 is an equidigital number, since it uses as much as digits as its factorization.

13145965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53676 (or 53669 counting only the distinct ones).

The product of its digits is 16200, while the sum is 34.

The square root of 13145965 is about 3625.7364769106. The cubic root of 13145965 is about 236.0102277000.

The spelling of 13145965 in words is "thirteen million, one hundred forty-five thousand, nine hundred sixty-five".

Divisors: 1 5 7 35 49 245 53657 268285 375599 1877995 2629193 13145965