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125408016 = 2432870889
BaseRepresentation
bin1110111100110…
…01001100010000
322201222101110100
413132121030100
5224101024031
620235532400
73051644016
oct736311420
9281871410
10125408016
1164875998
1235bba100
131cc9b636
14129268b6
15b022de6
hex7799310

125408016 has 30 divisors (see below), whose sum is σ = 350968670. Its totient is φ = 41802624.

The previous prime is 125407991. The next prime is 125408027. The reversal of 125408016 is 610804521.

It can be written as a sum of positive squares in only one way, i.e., 125350416 + 57600 = 11196^2 + 240^2 .

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 5 ways as a sum of consecutive naturals, for example, 435301 + ... + 435588.

Almost surely, 2125408016 is an apocalyptic number.

125408016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125408016 is an abundant number, since it is smaller than the sum of its proper divisors (225560654).

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

125408016 is a wasteful number, since it uses less digits than its factorization.

125408016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870903 (or 870894 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 125408016 is about 11198.5720518288. The cubic root of 125408016 is about 500.5434304860.

The spelling of 125408016 in words is "one hundred twenty-five million, four hundred eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 870889 1741778 2612667 3483556 5225334 6967112 7838001 10450668 13934224 15676002 20901336 31352004 41802672 62704008 125408016