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15313064 = 2313732017
BaseRepresentation
bin111010011010…
…100010101000
31001210222120112
4322122202220
512410004224
61304113452
7244105334
oct72324250
931728515
1015313064
118709a28
125165888
133231cb0
1420687c4
15152730e
hexe9a8a8

15313064 has 32 divisors (see below), whose sum is σ = 31359720. Its totient is φ = 6967296.

The previous prime is 15313057. The next prime is 15313093. The reversal of 15313064 is 46031351.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13380964 + 1932100 = 3658^2 + 1390^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6584 + ... + 8600.

Almost surely, 215313064 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 15313064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15679860).

15313064 is an abundant number, since it is smaller than the sum of its proper divisors (16046656).

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

15313064 is a wasteful number, since it uses less digits than its factorization.

15313064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 15313064 is about 3913.1910252376. The cubic root of 15313064 is about 248.3251458446.

The spelling of 15313064 in words is "fifteen million, three hundred thirteen thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 949 1898 2017 3796 4034 7592 8068 16136 26221 52442 104884 147241 209768 294482 588964 1177928 1914133 3828266 7656532 15313064