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12794985 = 3257151269
BaseRepresentation
bin110000110011…
…110001101001
3220002001102100
4300303301221
511233414420
61134124013
7213520110
oct60636151
926061370
1012794985
11724a075
124350609
13285cac8
1419b0c77
1511cb190
hexc33c69

12794985 has 48 divisors (see below), whose sum is σ = 25608960. Its totient is φ = 5788800.

The previous prime is 12794963. The next prime is 12794989. The reversal of 12794985 is 58949721.

12794985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12794985 - 26 = 12794921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12794985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12794989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47431 + ... + 47699.

It is an arithmetic number, because the mean of its divisors is an integer number (533520).

Almost surely, 212794985 is an apocalyptic number.

12794985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12794985 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

12794985 is a wasteful number, since it uses less digits than its factorization.

12794985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 435 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 12794985 is about 3577.0078277801. The cubic root of 12794985 is about 233.8908651727.

The spelling of 12794985 in words is "twelve million, seven hundred ninety-four thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 151 269 315 453 755 807 1057 1345 1359 1883 2265 2421 3171 4035 5285 5649 6795 9415 9513 12105 15855 16947 28245 40619 47565 84735 121857 203095 284333 365571 609285 852999 1421665 1827855 2558997 4264995 12794985