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12936393 = 3231199233
BaseRepresentation
bin110001010110…
…010011001001
3220100020101200
4301112103021
511302431033
61141134413
7214646301
oct61262311
926306350
1012936393
117336338
1243ba409
1328ac292
141a0a601
151208013
hexc564c9

12936393 has 24 divisors (see below), whose sum is σ = 19468800. Its totient is φ = 8268480.

The previous prime is 12936317. The next prime is 12936401. The reversal of 12936393 is 39363921.

It is a happy number.

12936393 is a `hidden beast` number, since 12 + 9 + 3 + 639 + 3 = 666.

It is not a de Polignac number, because 12936393 - 210 = 12935369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12931393) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 55405 + ... + 55637.

It is an arithmetic number, because the mean of its divisors is an integer number (811200).

Almost surely, 212936393 is an apocalyptic number.

It is an amenable number.

12936393 is a deficient number, since it is larger than the sum of its proper divisors (6532407).

12936393 is a wasteful number, since it uses less digits than its factorization.

12936393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 466 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 12936393 is about 3596.7197555551. The cubic root of 12936393 is about 234.7493509834.

The spelling of 12936393 in words is "twelve million, nine hundred thirty-six thousand, three hundred ninety-three".

Divisors: 1 3 9 31 93 199 233 279 597 699 1791 2097 6169 7223 18507 21669 46367 55521 65007 139101 417303 1437377 4312131 12936393