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125060256 = 2532434237
BaseRepresentation
bin1110111010001…
…00010010100000
322201022201102100
413131010102200
5224003412011
620224250400
73045665106
oct735042240
9281281370
10125060256
1164658692
1235a70a00
131cba9269
1412875c76
15aea4d56
hex77444a0

125060256 has 36 divisors (see below), whose sum is σ = 355640922. Its totient is φ = 41686656.

The previous prime is 125060251. The next prime is 125060263. The reversal of 125060256 is 652060521.

125060256 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 602 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102819600 + 22240656 = 10140^2 + 4716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (125060251) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 216831 + ... + 217406.

Almost surely, 2125060256 is an apocalyptic number.

125060256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125060256 is an abundant number, since it is smaller than the sum of its proper divisors (230580666).

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

125060256 is a wasteful number, since it uses less digits than its factorization.

125060256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434253 (or 434242 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 125060256 is about 11183.0342930709. The cubic root of 125060256 is about 500.0803284273.

It can be divided in two parts, 125060 and 256, that added together give a square (125316 = 3542).

The spelling of 125060256 in words is "one hundred twenty-five million, sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 434237 868474 1302711 1736948 2605422 3473896 3908133 5210844 6947792 7816266 10421688 13895584 15632532 20843376 31265064 41686752 62530128 125060256