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13087456 = 253179167
BaseRepresentation
bin110001111011…
…001011100000
3220121220121121
4301323023200
511322244311
61144302024
7216145564
oct61731340
926556547
1013087456
117429888
124471914
132932c75
141a496a4
151237b71
hexc7b2e0

13087456 has 48 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 6215040.

The previous prime is 13087441. The next prime is 13087457. The reversal of 13087456 is 65478031.

13087456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13087457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78285 + ... + 78451.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 213087456 is an apocalyptic number.

13087456 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 13087456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

13087456 is an abundant number, since it is smaller than the sum of its proper divisors (14007584).

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

13087456 is a wasteful number, since it uses less digits than its factorization.

13087456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 13087456 is about 3617.6589115062. The cubic root of 13087456 is about 235.6595685315.

The spelling of 13087456 in words is "thirteen million, eighty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 79 124 158 167 248 316 334 496 632 668 992 1264 1336 2449 2528 2672 4898 5177 5344 9796 10354 13193 19592 20708 26386 39184 41416 52772 78368 82832 105544 165664 211088 408983 422176 817966 1635932 3271864 6543728 13087456