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13393107 = 347132379
BaseRepresentation
bin110011000101…
…110011010011
3221012102220000
4303011303103
511412034412
61155021043
7221560650
oct63056323
927172800
1013393107
117618492
12459a783
132a0c120
141ac8c27
1512984dc
hexcc5cd3

13393107 has 80 divisors (see below), whose sum is σ = 26019840. Its totient is φ = 6671808.

The previous prime is 13393103. The next prime is 13393117. The reversal of 13393107 is 70139331.

13393107 = 10092 + 10102 + ... + 10212.

It is not a de Polignac number, because 13393107 - 22 = 13393103 is a prime.

It is a super-2 number, since 2×133931072 = 358750630226898, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13393103) 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 79 ways as a sum of consecutive naturals, for example, 169494 + ... + 169572.

It is an arithmetic number, because the mean of its divisors is an integer number (325248).

Almost surely, 213393107 is an apocalyptic number.

13393107 is a deficient number, since it is larger than the sum of its proper divisors (12626733).

13393107 is a wasteful number, since it uses less digits than its factorization.

13393107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 13393107 is about 3659.6594103823. The cubic root of 13393107 is about 237.4800396891.

The spelling of 13393107 in words is "thirteen million, three hundred ninety-three thousand, one hundred seven".

Divisors: 1 3 7 9 13 21 23 27 39 63 69 79 81 91 117 161 189 207 237 273 299 351 483 553 567 621 711 819 897 1027 1053 1449 1659 1817 1863 2093 2133 2457 2691 3081 4347 4977 5451 6279 6399 7189 7371 8073 9243 12719 13041 14931 16353 18837 21567 23621 24219 27729 38157 44793 49059 56511 64701 70863 83187 114471 147177 165347 169533 194103 212589 343413 496041 582309 637767 1030239 1488123 1913301 4464369 13393107