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13295136 = 2531937197
BaseRepresentation
bin110010101101…
…111000100000
3221000110111110
4302231320200
511400421021
61152543320
7221002221
oct62557040
927013443
1013295136
117560918
124551b40
1329a665a
141aa1248
151279476
hexcade20

13295136 has 96 divisors (see below), whose sum is σ = 37920960. Its totient is φ = 4064256.

The previous prime is 13295131. The next prime is 13295141. The reversal of 13295136 is 63159231.

It is an interprime number because it is at equal distance from previous prime (13295131) and next prime (13295141).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13295131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67390 + ... + 67586.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 213295136 is an apocalyptic number.

13295136 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 13295136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960480).

13295136 is an abundant number, since it is smaller than the sum of its proper divisors (24625824).

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

13295136 is a wasteful number, since it uses less digits than its factorization.

13295136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 13295136 is about 3646.2495800480. The cubic root of 13295136 is about 236.8995639877.

It can be divided in two parts, 13295 and 136, that added together give a palindrome (13431).

The spelling of 13295136 in words is "thirteen million, two hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 74 76 96 111 114 148 152 197 222 228 296 304 394 444 456 591 592 608 703 788 888 912 1182 1184 1406 1576 1776 1824 2109 2364 2812 3152 3552 3743 4218 4728 5624 6304 7289 7486 8436 9456 11229 11248 14578 14972 16872 18912 21867 22458 22496 29156 29944 33744 43734 44916 58312 59888 67488 87468 89832 116624 119776 138491 174936 179664 233248 276982 349872 359328 415473 553964 699744 830946 1107928 1661892 2215856 3323784 4431712 6647568 13295136