Search a number
-
+
12955768 = 2371731439
BaseRepresentation
bin110001011011…
…000001111000
3220101012222021
4301123001320
511304041033
61141404224
7215056630
oct61330170
926335867
1012955768
117349951
124409674
1328b8047
141a136c0
15120db2d
hexc5b078

12955768 has 64 divisors (see below), whose sum is σ = 30412800. Its totient is φ = 5045760.

The previous prime is 12955759. The next prime is 12955783. The reversal of 12955768 is 86755921.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29293 + ... + 29731.

It is an arithmetic number, because the mean of its divisors is an integer number (475200).

Almost surely, 212955768 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 12955768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206400).

12955768 is an abundant number, since it is smaller than the sum of its proper divisors (17457032).

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

12955768 is a wasteful number, since it uses less digits than its factorization.

12955768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

The product of its digits is 151200, while the sum is 43.

The square root of 12955768 is about 3599.4121742307. The cubic root of 12955768 is about 234.8664882177.

The spelling of 12955768 in words is "twelve million, nine hundred fifty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 31 34 56 62 68 119 124 136 217 238 248 434 439 476 527 868 878 952 1054 1736 1756 2108 3073 3512 3689 4216 6146 7378 7463 12292 13609 14756 14926 24584 27218 29512 29852 52241 54436 59704 95263 104482 108872 190526 208964 231353 381052 417928 462706 762104 925412 1619471 1850824 3238942 6477884 12955768