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12854985 = 3511132461
BaseRepresentation
bin110001000010…
…011011001001
3220012002201120
4301002123021
511242324420
61135305453
7214160043
oct61023311
926162646
1012854985
117290160
12437b289
132881200
1419c8a93
1511ddd40
hexc426c9

12854985 has 48 divisors (see below), whose sum is σ = 24349248. Its totient is φ = 5740800.

The previous prime is 12854971. The next prime is 12855013. The reversal of 12854985 is 58945821.

It is a happy number.

12854985 is a nontrivial binomial coefficient, being equal to C(5071, 2).

It is not a de Polignac number, because 12854985 - 24 = 12854969 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27655 + ... + 28115.

It is an arithmetic number, because the mean of its divisors is an integer number (507276).

Almost surely, 212854985 is an apocalyptic number.

12854985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12854985 is the 5070-th triangular number.

It is an amenable number.

12854985 is a deficient number, since it is larger than the sum of its proper divisors (11494263).

12854985 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (12854984) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (493).

12854985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 493 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The square root of 12854985 is about 3585.3849165745. The cubic root of 12854985 is about 234.2558929034.

The spelling of 12854985 in words is "twelve million, eight hundred fifty-four thousand, nine hundred eighty-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 169 195 429 461 507 715 845 1383 1859 2145 2305 2535 5071 5577 5993 6915 9295 15213 17979 25355 27885 29965 65923 76065 77909 89895 197769 233727 329615 389545 856999 988845 1168635 2570997 4284995 12854985