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125742780 = 2235525873
BaseRepresentation
bin1110111111010…
…10111010111100
322202121101200000
413133222322330
5224142232110
620251034300
73054540012
oct737527274
9282541600
10125742780
1164a84459
123613b990
1320087b17
14129b28b2
15b08c1c0
hex77eaebc

125742780 has 72 divisors (see below), whose sum is σ = 395561712. Its totient is φ = 33530112.

The previous prime is 125742733. The next prime is 125742797. The reversal of 125742780 is 87247521.

125742780 is a `hidden beast` number, since 1 + 2 + 574 + 2 + 7 + 80 = 666.

It is a super-2 number, since 2×1257427802 = 31622493444256800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8077 + ... + 17796.

Almost surely, 2125742780 is an apocalyptic number.

125742780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125742780 is an abundant number, since it is smaller than the sum of its proper divisors (269818932).

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

125742780 is a wasteful number, since it uses less digits than its factorization.

125742780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25897 (or 25883 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 125742780 is about 11213.5088174933. The cubic root of 125742780 is about 500.9884181051.

The spelling of 125742780 in words is "one hundred twenty-five million, seven hundred forty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 25873 51746 77619 103492 129365 155238 232857 258730 310476 388095 465714 517460 698571 776190 931428 1164285 1397142 1552380 2095713 2328570 2794284 3492855 4191426 4657140 6287139 6985710 8382852 10478565 12574278 13971420 20957130 25148556 31435695 41914260 62871390 125742780