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15315920 = 245191449
BaseRepresentation
bin111010011011…
…001111010000
31001211010111022
4322123033100
512410102140
61304135012
7244116554
oct72331720
931733438
1015315920
118711094
125167468
133233399
142069864
1515280b5
hexe9b3d0

15315920 has 20 divisors (see below), whose sum is σ = 35609700. Its totient is φ = 6126336.

The previous prime is 15315913. The next prime is 15315931. The reversal of 15315920 is 2951351.

It can be written as a sum of positive squares in 2 ways, for example, as 2298256 + 13017664 = 1516^2 + 3608^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 15315920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95645 + ... + 95804.

It is an arithmetic number, because the mean of its divisors is an integer number (1780485).

Almost surely, 215315920 is an apocalyptic number.

15315920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15315920 is an abundant number, since it is smaller than the sum of its proper divisors (20293780).

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

15315920 is a wasteful number, since it uses less digits than its factorization.

15315920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191462 (or 191456 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 15315920 is about 3913.5559277976. Note that the first 3 decimals coincide. The cubic root of 15315920 is about 248.3405830454.

The spelling of 15315920 in words is "fifteen million, three hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 191449 382898 765796 957245 1531592 1914490 3063184 3828980 7657960 15315920