Search a number
-
+
125835966 = 232972743
BaseRepresentation
bin1111000000000…
…01101010111110
322202210010111100
413200001222332
5224203222331
620253033530
73055405464
oct740015276
9282703440
10125835966
1165038473
12361858a6
13200bb369
14129d8834
15b0a9ae6
hex7801abe

125835966 has 36 divisors (see below), whose sum is σ = 275855112. Its totient is φ = 41457024.

The previous prime is 125835961. The next prime is 125835973. The reversal of 125835966 is 669538521.

125835966 is a `hidden beast` number, since 1 + 2 + 58 + 3 + 596 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125835961) 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 17 ways as a sum of consecutive naturals, for example, 168991 + ... + 169733.

It is an arithmetic number, because the mean of its divisors is an integer number (7662642).

Almost surely, 2125835966 is an apocalyptic number.

125835966 is an abundant number, since it is smaller than the sum of its proper divisors (150019146).

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

125835966 is an equidigital number, since it uses as much as digits as its factorization.

125835966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 845 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 125835966 is about 11217.6631256247. The cubic root of 125835966 is about 501.1121457628.

The spelling of 125835966 in words is "one hundred twenty-five million, eight hundred thirty-five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 97 194 291 582 743 873 1486 1746 2229 4458 6687 9409 13374 18818 28227 56454 72071 84681 144142 169362 216213 432426 648639 1297278 6990887 13981774 20972661 41945322 62917983 125835966