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125960192 = 217312
BaseRepresentation
bin1111000001000…
…00000000000000
322210000102220022
413200200000000
5224221211232
620255433012
73056433611
oct740400000
9283012808
10125960192
1165112836
1236225768
1320132a77
1412a2bc08
15b0d1812
hex7820000

125960192 has 54 divisors (see below), whose sum is σ = 260307999. Its totient is φ = 60948480.

The previous prime is 125960189. The next prime is 125960227. The reversal of 125960192 is 291069521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 62980096 + 62980096 = 7936^2 + 7936^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7936.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4063217 + ... + 4063247.

Almost surely, 2125960192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125960192

125960192 is an abundant number, since it is smaller than the sum of its proper divisors (134347807).

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

125960192 is an frugal number, since it uses more digits than its factorization.

125960192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 125960192 is about 11223.1988309929. The cubic root of 125960192 is about 501.2769918073.

The spelling of 125960192 in words is "one hundred twenty-five million, nine hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 961 992 1024 1922 1984 2048 3844 3968 4096 7688 7936 8192 15376 15872 16384 30752 31744 32768 61504 63488 65536 123008 126976 131072 246016 253952 492032 507904 984064 1015808 1968128 2031616 3936256 4063232 7872512 15745024 31490048 62980096 125960192