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13115264 = 27791297
BaseRepresentation
bin110010000001…
…111110000000
3220200022202112
4302001332000
511324142024
61145034452
7216322631
oct62017600
926608675
1013115264
117448768
124485a28
132942816
141a55888
15124100e
hexc81f80

13115264 has 32 divisors (see below), whose sum is σ = 26479200. Its totient is φ = 6469632.

The previous prime is 13115261. The next prime is 13115281. The reversal of 13115264 is 46251131.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13115261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9464 + ... + 10760.

It is an arithmetic number, because the mean of its divisors is an integer number (827475).

Almost surely, 213115264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13239600).

13115264 is an abundant number, since it is smaller than the sum of its proper divisors (13363936).

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

13115264 is an equidigital number, since it uses as much as digits as its factorization.

13115264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1378 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 13115264 is about 3621.5002416126. The cubic root of 13115264 is about 235.8263589137.

Adding to 13115264 its reverse (46251131), we get a palindrome (59366395).

The spelling of 13115264 in words is "thirteen million, one hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 1297 2528 2594 5056 5188 10112 10376 20752 41504 83008 102463 166016 204926 409852 819704 1639408 3278816 6557632 13115264