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125091372 = 223717251349
BaseRepresentation
bin1110111010010…
…11111000101100
322201101022002210
413131023320230
5224010410442
620225050420
73046154610
oct735137054
9281338083
10125091372
1164679aaa
1235a86a10
131cbba483
1412883340
15aeae19c
hex774be2c

125091372 has 96 divisors (see below), whose sum is σ = 355622400. Its totient is φ = 33408000.

The previous prime is 125091371. The next prime is 125091401. The reversal of 125091372 is 273190521.

It is not an unprimeable number, because it can be changed into a prime (125091371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358254 + ... + 358602.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 2125091372 is an apocalyptic number.

125091372 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 125091372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

125091372 is an abundant number, since it is smaller than the sum of its proper divisors (230531028).

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

125091372 is a wasteful number, since it uses less digits than its factorization.

125091372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 125091372 is about 11184.4254210934. The cubic root of 125091372 is about 500.1217996606.

The spelling of 125091372 in words is "one hundred twenty-five million, ninety-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 251 349 357 476 502 698 714 753 1004 1047 1396 1428 1506 1757 2094 2443 3012 3514 4188 4267 4886 5271 5933 7028 7329 8534 9772 10542 11866 12801 14658 17068 17799 21084 23732 25602 29316 29869 35598 41531 51204 59738 71196 83062 87599 89607 119476 124593 166124 175198 179214 249186 262797 350396 358428 498372 525594 613193 1051188 1226386 1489183 1839579 2452772 2978366 3679158 4467549 5956732 7358316 8935098 10424281 17870196 20848562 31272843 41697124 62545686 125091372