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125958920 = 2353148973
BaseRepresentation
bin1111000000111…
…11101100001000
322210000101011012
413200133230020
5224221141140
620255423052
73056430113
oct740375410
9283011135
10125958920
116511188a
1236224a88
1320132309
1412a2b57a
15b0d1265
hex781fb08

125958920 has 16 divisors (see below), whose sum is σ = 283407660. Its totient is φ = 50383552.

The previous prime is 125958913. The next prime is 125958947. The reversal of 125958920 is 29859521.

It can be written as a sum of positive squares in 2 ways, for example, as 120604324 + 5354596 = 10982^2 + 2314^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1574447 + ... + 1574526.

Almost surely, 2125958920 is an apocalyptic number.

125958920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125958920 is an abundant number, since it is smaller than the sum of its proper divisors (157448740).

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

125958920 is a wasteful number, since it uses less digits than its factorization.

125958920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148984 (or 3148980 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 41.

The square root of 125958920 is about 11223.1421625140. The cubic root of 125958920 is about 501.2753044317.

The spelling of 125958920 in words is "one hundred twenty-five million, nine hundred fifty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3148973 6297946 12595892 15744865 25191784 31489730 62979460 125958920