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125665332 = 223135315199
BaseRepresentation
bin1110111110110…
…00000000110100
322202110110102120
413133120000310
5224132242312
620245235540
73054065142
oct737300064
9282413376
10125665332
1164a31251
1236102bb0
132005b7b0
1412992592
15b07428c
hex77d8034

125665332 has 48 divisors (see below), whose sum is σ = 321753600. Its totient is φ = 37934208.

The previous prime is 125665321. The next prime is 125665333. The reversal of 125665332 is 233566521.

It is a junction number, because it is equal to n+sod(n) for n = 125665293 and 125665302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125665333) 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 15 ways as a sum of consecutive naturals, for example, 669 + ... + 15867.

It is an arithmetic number, because the mean of its divisors is an integer number (6703200).

Almost surely, 2125665332 is an apocalyptic number.

125665332 is a gapful number since it is divisible by the number (12) 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 125665332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

125665332 is an abundant number, since it is smaller than the sum of its proper divisors (196088268).

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

125665332 is a wasteful number, since it uses less digits than its factorization.

125665332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15272 (or 15270 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 125665332 is about 11210.0549508020. The cubic root of 125665332 is about 500.8855400451.

The spelling of 125665332 in words is "one hundred twenty-five million, six hundred sixty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 2067 2756 4134 8268 15199 30398 45597 60796 91194 182388 197587 395174 592761 790348 805547 1185522 1611094 2371044 2416641 3222188 4833282 9666564 10472111 20944222 31416333 41888444 62832666 125665332