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125738064 = 24326611321
BaseRepresentation
bin1110111111010…
…01110001010000
322202121011012100
413133221301100
5224142104224
620251000400
73054520164
oct737516120
9282534170
10125738064
1164a80961
1236139100
132008592a
14129b0ca4
15b08aac9
hex77e9c50

125738064 has 60 divisors (see below), whose sum is σ = 352691092. Its totient is φ = 41817600.

The previous prime is 125738057. The next prime is 125738117. The reversal of 125738064 is 460837521.

125738064 is a `hidden beast` number, since 1 + 2 + 573 + 80 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108993600 + 16744464 = 10440^2 + 4092^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94524 + ... + 95844.

Almost surely, 2125738064 is an apocalyptic number.

It is an amenable number.

125738064 is an abundant number, since it is smaller than the sum of its proper divisors (226953028).

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

125738064 is a wasteful number, since it uses less digits than its factorization.

125738064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 125738064 is about 11213.2985334379. The cubic root of 125738064 is about 500.9821548140.

The spelling of 125738064 in words is "one hundred twenty-five million, seven hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 661 1321 1322 1983 2642 2644 3963 3966 5284 5288 5949 7926 7932 10568 10576 11889 11898 15852 15864 21136 23778 23796 31704 31728 47556 47592 63408 95112 95184 190224 873181 1746362 2619543 3492724 5239086 6985448 7858629 10478172 13970896 15717258 20956344 31434516 41912688 62869032 125738064