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12920796 = 22377211
BaseRepresentation
bin110001010010…
…011111011100
3220022110000000
4301102133130
511301431141
61140534300
7214552650
oct61223734
926273000
1012920796
117325649
1243b1390
1328a5155
141a04a60
1512035b6
hexc527dc

12920796 has 96 divisors (see below), whose sum is σ = 38940160. Its totient is φ = 3674160.

The previous prime is 12920783. The next prime is 12920797. The reversal of 12920796 is 69702921.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 12920796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12920797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61131 + ... + 61341.

Almost surely, 212920796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12920796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19470080).

12920796 is an abundant number, since it is smaller than the sum of its proper divisors (26019364).

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

12920796 is an equidigital number, since it uses as much as digits as its factorization.

12920796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 12920796 is about 3594.5508759788. The cubic root of 12920796 is about 234.6549697524.

The spelling of 12920796 in words is "twelve million, nine hundred twenty thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 211 243 252 324 378 422 486 567 633 729 756 844 972 1134 1266 1458 1477 1701 1899 2187 2268 2532 2916 2954 3402 3798 4374 4431 5103 5697 5908 6804 7596 8748 8862 10206 11394 13293 15309 17091 17724 20412 22788 26586 30618 34182 39879 51273 53172 61236 68364 79758 102546 119637 153819 159516 205092 239274 307638 358911 461457 478548 615276 717822 922914 1076733 1435644 1845828 2153466 3230199 4306932 6460398 12920796