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13247136 = 253276571
BaseRepresentation
bin110010100010…
…001010100000
3220221000122200
4302202022200
511342402021
61151533200
7220412250
oct62421240
926830580
1013247136
117528851
12452a200
13298a856
141a8b960
15126a126
hexca22a0

13247136 has 72 divisors (see below), whose sum is σ = 43059744. Its totient is φ = 3784320.

The previous prime is 13247119. The next prime is 13247159. The reversal of 13247136 is 63174231.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×132471362 = 350973224404992, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1270 + ... + 5301.

It is an arithmetic number, because the mean of its divisors is an integer number (598052).

Almost surely, 213247136 is an apocalyptic number.

13247136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13247136 is an abundant number, since it is smaller than the sum of its proper divisors (29812608).

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

13247136 is a wasteful number, since it uses less digits than its factorization.

13247136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594 (or 6583 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13247136 is about 3639.6615227243. The cubic root of 13247136 is about 236.6141239791.

The spelling of 13247136 in words is "thirteen million, two hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 6571 13142 19713 26284 39426 45997 52568 59139 78852 91994 105136 118278 137991 157704 183988 210272 236556 275982 315408 367976 413973 473112 551964 630816 735952 827946 946224 1103928 1471904 1655892 1892448 2207856 3311784 4415712 6623568 13247136