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125970096 = 2437834517
BaseRepresentation
bin1111000001000…
…10011010110000
322210000221111010
413200202122300
5224222020341
620255550520
73056504520
oct740423260
9283027433
10125970096
116511a21a
123622b440
1320137425
1412a31680
15b0d4716
hex78226b0

125970096 has 80 divisors (see below), whose sum is σ = 376475904. Its totient is φ = 35549952.

The previous prime is 125970079. The next prime is 125970107. The reversal of 125970096 is 690079521.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25630 + ... + 30146.

Almost surely, 2125970096 is an apocalyptic number.

125970096 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 125970096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188237952).

125970096 is an abundant number, since it is smaller than the sum of its proper divisors (250505808).

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

125970096 is a wasteful number, since it uses less digits than its factorization.

125970096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 125970096 is about 11223.6400512490. The cubic root of 125970096 is about 501.2901296014.

The spelling of 125970096 in words is "one hundred twenty-five million, nine hundred seventy thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 664 996 1162 1328 1743 1992 2324 3486 3984 4517 4648 6972 9034 9296 13551 13944 18068 27102 27888 31619 36136 54204 63238 72272 94857 108408 126476 189714 216816 252952 374911 379428 505904 749822 758856 1124733 1499644 1517712 2249466 2624377 2999288 4498932 5248754 5998576 7873131 8997864 10497508 15746262 17995728 20995016 31492524 41990032 62985048 125970096