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125936 = 2417463
BaseRepresentation
bin11110101111110000
320101202022
4132233300
513012221
62411012
71033106
oct365760
9211668
10125936
1186688
1260a68
1345425
1433c76
15274ab
hex1ebf0

125936 has 20 divisors (see below), whose sum is σ = 258912. Its totient is φ = 59136.

The previous prime is 125933. The next prime is 125941. The reversal of 125936 is 639521.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125933) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 41 + ... + 503.

2125936 is an apocalyptic number.

125936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129456).

125936 is an abundant number, since it is smaller than the sum of its proper divisors (132976).

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

125936 is a wasteful number, since it uses less digits than its factorization.

125936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 125936 is about 354.8746257483. The cubic root of 125936 is about 50.1244897886.

The spelling of 125936 in words is "one hundred twenty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 463 926 1852 3704 7408 7871 15742 31484 62968 125936