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13138479 = 322971709
BaseRepresentation
bin110010000111…
…101000101111
3220201111121100
4302013220233
511330412404
61145334143
7216450414
oct62075057
926644540
1013138479
117464152
124497353
132950263
141a6010b
151247d39
hexc87a2f

13138479 has 24 divisors (see below), whose sum is σ = 19936800. Its totient is φ = 8326080.

The previous prime is 13138471. The next prime is 13138487. The reversal of 13138479 is 97483131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13138471) and next prime (13138487).

It is not a de Polignac number, because 13138479 - 23 = 13138471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138471) 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 23 ways as a sum of consecutive naturals, for example, 18177 + ... + 18885.

It is an arithmetic number, because the mean of its divisors is an integer number (830700).

Almost surely, 213138479 is an apocalyptic number.

13138479 is a deficient number, since it is larger than the sum of its proper divisors (6798321).

13138479 is a wasteful number, since it uses less digits than its factorization.

13138479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 812 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 13138479 is about 3624.7039879140. The cubic root of 13138479 is about 235.9654203381.

The spelling of 13138479 in words is "thirteen million, one hundred thirty-eight thousand, four hundred seventy-nine".

Divisors: 1 3 9 29 71 87 213 261 639 709 2059 2127 6177 6381 18531 20561 50339 61683 151017 185049 453051 1459831 4379493 13138479