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125461440 = 26335131117
BaseRepresentation
bin1110111101001…
…10001111000000
322202002002202000
413132212033000
5224104231230
620241024000
73052255536
oct736461700
9282062660
10125461440
1164902045
1236025000
131ccb9a50
141293c156
15b033b60
hex77a63c0

125461440 has 224 divisors, whose sum is σ = 477072960. Its totient is φ = 30855168.

The previous prime is 125461439. The next prime is 125461477. The reversal of 125461440 is 44164521.

125461440 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 614 + 40 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 125461440 = 2383 + 4823 = 3363 + 4443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111762 + ... + 112878.

It is an arithmetic number, because the mean of its divisors is an integer number (2129790).

Almost surely, 2125461440 is an apocalyptic number.

125461440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238536480).

125461440 is an abundant number, since it is smaller than the sum of its proper divisors (351611520).

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

125461440 is a wasteful number, since it uses less digits than its factorization.

125461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 125461440 is about 11200.9571019623. The cubic root of 125461440 is about 500.6144978088.

The spelling of 125461440 in words is "one hundred twenty-five million, four hundred sixty-one thousand, four hundred forty".