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12957315 = 357217261
BaseRepresentation
bin110001011011…
…011010000011
3220101022002120
4301123122003
511304113230
61141415323
7215064300
oct61333203
926338076
1012957315
117350028
12440a543
1328b8967
141a140a7
15120e310
hexc5b683

12957315 has 72 divisors (see below), whose sum is σ = 26038512. Its totient is φ = 5483520.

The previous prime is 12957311. The next prime is 12957317. The reversal of 12957315 is 51375921.

12957315 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12957315 - 22 = 12957311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12957311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212385 + ... + 212445.

It is an arithmetic number, because the mean of its divisors is an integer number (361646).

Almost surely, 212957315 is an apocalyptic number.

12957315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12957315 is an abundant number, since it is smaller than the sum of its proper divisors (13081197).

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

12957315 is a wasteful number, since it uses less digits than its factorization.

12957315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its digits is 9450, while the sum is 33.

The square root of 12957315 is about 3599.6270640165. The cubic root of 12957315 is about 234.8758360232.

The spelling of 12957315 in words is "twelve million, nine hundred fifty-seven thousand, three hundred fifteen".

Divisors: 1 3 5 7 15 17 21 35 49 51 61 85 105 119 147 183 245 255 289 305 357 427 595 735 833 867 915 1037 1281 1445 1785 2023 2135 2499 2989 3111 4165 4335 5185 6069 6405 7259 8967 10115 12495 14161 14945 15555 17629 21777 30345 36295 42483 44835 50813 52887 70805 88145 108885 123403 152439 212415 254065 264435 370209 617015 762195 863821 1851045 2591463 4319105 12957315