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125132832 = 25321139499
BaseRepresentation
bin1110111010101…
…10000000100000
322201110101222100
413131112000200
5224013222312
620230010400
73046416516
oct735260040
9281411870
10125132832
11646a8170
1235aa6a00
131cc032c6
14128944b6
15aebb5dc
hex7756020

125132832 has 72 divisors (see below), whose sum is σ = 388206000. Its totient is φ = 37918080.

The previous prime is 125132831. The next prime is 125132849. The reversal of 125132832 is 238231521.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 125132796 and 125132805.

It is not an unprimeable number, because it can be changed into a prime (125132831) 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 11 ways as a sum of consecutive naturals, for example, 16582 + ... + 22917.

It is an arithmetic number, because the mean of its divisors is an integer number (5391750).

Almost surely, 2125132832 is an apocalyptic number.

125132832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125132832 is an abundant number, since it is smaller than the sum of its proper divisors (263073168).

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

125132832 is a wasteful number, since it uses less digits than its factorization.

125132832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39526 (or 39515 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 125132832 is about 11186.2787378109. The cubic root of 125132832 is about 500.1770466349.

The spelling of 125132832 in words is "one hundred twenty-five million, one hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 39499 78998 118497 157996 236994 315992 355491 434489 473988 631984 710982 868978 947976 1263968 1303467 1421964 1737956 1895952 2606934 2843928 3475912 3791904 3910401 5213868 5687856 6951824 7820802 10427736 11375712 13903648 15641604 20855472 31283208 41710944 62566416 125132832