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13136937 = 3111723417
BaseRepresentation
bin110010000111…
…010000101001
3220201102111020
4302013100221
511330340222
61145323053
7216443052
oct62072051
926642436
1013136937
117462a80
124496489
13294c648
141a5d729
15124765c
hexc87429

13136937 has 16 divisors (see below), whose sum is σ = 20233152. Its totient is φ = 7493120.

The previous prime is 13136927. The next prime is 13136939. The reversal of 13136937 is 73963131.

13136937 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13136937 - 26 = 13136873 is a prime.

It is a super-2 number, since 2×131369372 = 345158227483938, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13136898 and 13136907.

It is not an unprimeable number, because it can be changed into a prime (13136939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11148 + ... + 12269.

It is an arithmetic number, because the mean of its divisors is an integer number (1264572).

Almost surely, 213136937 is an apocalyptic number.

13136937 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13136937 is a deficient number, since it is larger than the sum of its proper divisors (7096215).

13136937 is a wasteful number, since it uses less digits than its factorization.

13136937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23448.

The product of its digits is 10206, while the sum is 33.

The square root of 13136937 is about 3624.4912746481. The cubic root of 13136937 is about 235.9561886019.

The spelling of 13136937 in words is "thirteen million, one hundred thirty-six thousand, nine hundred thirty-seven".

Divisors: 1 3 11 17 33 51 187 561 23417 70251 257587 398089 772761 1194267 4378979 13136937