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15264 = 253253
BaseRepresentation
bin11101110100000
3202221100
43232200
5442024
6154400
762334
oct35640
922840
1015264
1110517
128a00
136c42
1457c4
1547c9
hex3ba0

15264 has 36 divisors (see below), whose sum is σ = 44226. Its totient is φ = 4992.

The previous prime is 15263. The next prime is 15269. The reversal of 15264 is 46251.

15264 divided by its sum of digits (18) gives a palindrome (848).

It can be divided in two parts, 152 and 64, that added together give a cube (216 = 63).

It is a happy number.

15264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11664 + 3600 = 108^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15264.

It is not an unprimeable number, because it can be changed into a prime (15263) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 262 + ... + 314.

215264 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 15264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22113).

15264 is an abundant number, since it is smaller than the sum of its proper divisors (28962).

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

15264 is a wasteful number, since it uses less digits than its factorization.

15264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 58 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 15264 is about 123.5475616918. The cubic root of 15264 is about 24.8059645730.

The spelling of 15264 in words is "fifteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264