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125414532 = 223212727431
BaseRepresentation
bin1110111100110…
…10110010000100
322201222201101200
413132122302010
5224101231112
620240022500
73052002015
oct736326204
9281881350
10125414532
116487a881
1236001a30
131cca15a9
141292900c
15b024cdc
hex779ac84

125414532 has 36 divisors (see below), whose sum is σ = 319527936. Its totient is φ = 41474160.

The previous prime is 125414489. The next prime is 125414537. The reversal of 125414532 is 235414521.

125414532 is a `hidden beast` number, since 125 + 4 + 1 + 4 + 532 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 125414496 and 125414505.

It is not an unprimeable number, because it can be changed into a prime (125414537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9144 + ... + 18287.

It is an arithmetic number, because the mean of its divisors is an integer number (8875776).

Almost surely, 2125414532 is an apocalyptic number.

125414532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

125414532 is the 9144-th pentagonal number.

It is an amenable number.

125414532 is an abundant number, since it is smaller than the sum of its proper divisors (194113404).

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

125414532 is a wasteful number, since it uses less digits than its factorization.

125414532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27568 (or 27563 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 125414532 is about 11198.8629779992. The cubic root of 125414532 is about 500.5520994813.

The spelling of 125414532 in words is "one hundred twenty-five million, four hundred fourteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1524 2286 4572 27431 54862 82293 109724 164586 246879 329172 493758 987516 3483737 6967474 10451211 13934948 20902422 31353633 41804844 62707266 125414532