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125372232 = 23333171831
BaseRepresentation
bin1110111100100…
…00011101001000
322201220120101000
413132100131020
5224043402412
620235055000
73051434466
oct736203510
9281816330
10125372232
1164851017
1235ba1460
131cc8826b
1412917836
15b0174dc
hex7790748

125372232 has 64 divisors (see below), whose sum is σ = 349545600. Its totient is φ = 41636160.

The previous prime is 125372231. The next prime is 125372237. The reversal of 125372232 is 232273521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 125372196 and 125372205.

It is not an unprimeable number, because it can be changed into a prime (125372231) 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, 67557 + ... + 69387.

It is an arithmetic number, because the mean of its divisors is an integer number (5461650).

Almost surely, 2125372232 is an apocalyptic number.

125372232 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 125372232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174772800).

125372232 is an abundant number, since it is smaller than the sum of its proper divisors (224173368).

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

125372232 is a wasteful number, since it uses less digits than its factorization.

125372232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2153 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 125372232 is about 11196.9742341402. The cubic root of 125372232 is about 500.4958175008.

The spelling of 125372232 in words is "one hundred twenty-five million, three hundred seventy-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 317 634 951 1268 1831 1902 2536 2853 3662 3804 5493 5706 7324 7608 8559 10986 11412 14648 16479 17118 21972 22824 32958 34236 43944 49437 65916 68472 98874 131832 197748 395496 580427 1160854 1741281 2321708 3482562 4643416 5223843 6965124 10447686 13930248 15671529 20895372 31343058 41790744 62686116 125372232