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125976064 = 29317937
BaseRepresentation
bin1111000001000…
…11111000000000
322210001020200011
413200203320000
5224222213224
620300034304
73056531104
oct740437000
9283036604
10125976064
1165123755
1236232994
132013a066
1412a33904
15b0d6394
hex7823e00

125976064 has 40 divisors (see below), whose sum is σ = 259858368. Its totient is φ = 60948480.

The previous prime is 125976049. The next prime is 125976077. The reversal of 125976064 is 460679521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11904 + ... + 19840.

Almost surely, 2125976064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129929184).

125976064 is an abundant number, since it is smaller than the sum of its proper divisors (133882304).

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

125976064 is an frugal number, since it uses more digits than its factorization.

125976064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7986 (or 7970 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 125976064 is about 11223.9059155002. The cubic root of 125976064 is about 501.2980459042.

The spelling of 125976064 in words is "one hundred twenty-five million, nine hundred seventy-six thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1984 3968 7936 7937 15872 15874 31748 63496 126992 246047 253984 492094 507968 984188 1015936 1968376 2031872 3936752 4063744 7873504 15747008 31494016 62988032 125976064