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12929985 = 325287333
BaseRepresentation
bin110001010100…
…101111000001
3220022220121100
4301110233001
511302224420
61141045013
7214621515
oct61245701
926286540
1012929985
117331542
1243b6769
1328a93a3
141a08145
151206190
hexc54bc1

12929985 has 12 divisors (see below), whose sum is σ = 22412052. Its totient is φ = 6895968.

The previous prime is 12929981. The next prime is 12929999. The reversal of 12929985 is 58992921.

It can be written as a sum of positive squares in 2 ways, for example, as 8225424 + 4704561 = 2868^2 + 2169^2 .

It is not a de Polignac number, because 12929985 - 22 = 12929981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 287333 = 12929985 / (1 + 2 + 9 + 2 + 9 + 9 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 12929985.

It is not an unprimeable number, because it can be changed into a prime (12929981) 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 11 ways as a sum of consecutive naturals, for example, 143622 + ... + 143711.

It is an arithmetic number, because the mean of its divisors is an integer number (1867671).

Almost surely, 212929985 is an apocalyptic number.

12929985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12929985 is a deficient number, since it is larger than the sum of its proper divisors (9482067).

12929985 is a wasteful number, since it uses less digits than its factorization.

12929985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287344 (or 287341 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 12929985 is about 3595.8288335236. The cubic root of 12929985 is about 234.7105838070.

The spelling of 12929985 in words is "twelve million, nine hundred twenty-nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 287333 861999 1436665 2585997 4309995 12929985