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125432064 = 283423263
BaseRepresentation
bin1110111100111…
…11000100000000
322202000121110000
413132133010000
5224102311224
620240240000
73052104102
oct736370400
9282017400
10125432064
1164891a6a
1236010000
131cca9574
1412931572
15b02a0c9
hex779f100

125432064 has 180 divisors, whose sum is σ = 391761216. Its totient is φ = 39840768.

The previous prime is 125432063. The next prime is 125432081. The reversal of 125432064 is 460234521.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (125432063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476797 + ... + 477059.

Almost surely, 2125432064 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 125432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195880608).

125432064 is an abundant number, since it is smaller than the sum of its proper divisors (266329152).

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

125432064 is an equidigital number, since it uses as much as digits as its factorization.

125432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 125432064 is about 11199.6457086820. The cubic root of 125432064 is about 500.5754228564.

Adding to 125432064 its reverse (460234521), we get a palindrome (585666585).

The spelling of 125432064 in words is "one hundred twenty-five million, four hundred thirty-two thousand, sixty-four".