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125260470 = 232513710159
BaseRepresentation
bin1110111011101…
…01001010110110
322201200220001200
413131311022312
5224031313340
620232433330
73050460606
oct735651266
9281626050
10125260470
1164785055
1235b48846
131cc4942a
14128c8c06
15aee4330
hex77752b6

125260470 has 48 divisors (see below), whose sum is σ = 328086720. Its totient is φ = 33155712.

The previous prime is 125260459. The next prime is 125260519. The reversal of 125260470 is 74062521.

125260470 is a `hidden beast` number, since 1 + 2 + 52 + 604 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7251 + ... + 17409.

It is an arithmetic number, because the mean of its divisors is an integer number (6835140).

Almost surely, 2125260470 is an apocalyptic number.

125260470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125260470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164043360).

125260470 is an abundant number, since it is smaller than the sum of its proper divisors (202826250).

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

125260470 is a wasteful number, since it uses less digits than its factorization.

125260470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10309 (or 10306 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 125260470 is about 11191.9823981277. The cubic root of 125260470 is about 500.3470523869.

The spelling of 125260470 in words is "one hundred twenty-five million, two hundred sixty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2466 4110 6165 10159 12330 20318 30477 50795 60954 91431 101590 152385 182862 304770 457155 914310 1391783 2783566 4175349 6958915 8350698 12526047 13917830 20876745 25052094 41753490 62630235 125260470