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125075040 = 2535260573
BaseRepresentation
bin1110111010001…
…11111001100000
322201100110200220
413131013321200
5224004400130
620224443040
73046056156
oct735077140
9281313626
10125075040
1164668802
1235a79480
131cbb2bcc
141287b3d6
15aea9410
hex7747e60

125075040 has 48 divisors (see below), whose sum is σ = 393987888. Its totient is φ = 33353216.

The previous prime is 125075039. The next prime is 125075053. The reversal of 125075040 is 40570521.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125075040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129807 + ... + 130766.

It is an arithmetic number, because the mean of its divisors is an integer number (8208081).

Almost surely, 2125075040 is an apocalyptic number.

125075040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125075040 is an abundant number, since it is smaller than the sum of its proper divisors (268912848).

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

125075040 is a wasteful number, since it uses less digits than its factorization.

125075040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260591 (or 260583 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 125075040 is about 11183.6952748186. The cubic root of 125075040 is about 500.1000333187.

The spelling of 125075040 in words is "one hundred twenty-five million, seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 260573 521146 781719 1042292 1302865 1563438 2084584 2605730 3126876 3908595 4169168 5211460 6253752 7817190 8338336 10422920 12507504 15634380 20845840 25015008 31268760 41691680 62537520 125075040