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13255936 = 2853977
BaseRepresentation
bin110010100100…
…010100000000
3220221110201121
4302210110000
511343142221
61152042024
7220450021
oct62442400
926843647
1013255936
117534421
124533314
132991865
141a90c48
15126ca41
hexca4500

13255936 has 36 divisors (see below), whose sum is σ = 26986932. Its totient is φ = 6496256.

The previous prime is 13255873. The next prime is 13255951. The reversal of 13255936 is 63955231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11182336 + 2073600 = 3344^2 + 1440^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13080 + ... + 14056.

It is an arithmetic number, because the mean of its divisors is an integer number (749637).

Almost surely, 213255936 is an apocalyptic number.

13255936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13255936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13493466).

13255936 is an abundant number, since it is smaller than the sum of its proper divisors (13730996).

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

13255936 is an frugal number, since it uses more digits than its factorization.

13255936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1032 counting only the distinct ones).

The product of its digits is 24300, while the sum is 34.

The square root of 13255936 is about 3640.8702256466. The cubic root of 13255936 is about 236.6665062046. Note that the first 3 decimals are identical.

The spelling of 13255936 in words is "thirteen million, two hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 977 1696 1954 3392 3908 6784 7816 13568 15632 31264 51781 62528 103562 125056 207124 250112 414248 828496 1656992 3313984 6627968 13255936