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125968860 = 223251936833
BaseRepresentation
bin1111000001000…
…10000111011100
322210000212210100
413200202013130
5224222000420
620255541100
73056501103
oct740420734
9283025710
10125968860
11651192a6
123622a790
13201369b4
1412a3103a
15b0d4190
hex78221dc

125968860 has 72 divisors (see below), whose sum is σ = 402227280. Its totient is φ = 31822848.

The previous prime is 125968849. The next prime is 125968867. The reversal of 125968860 is 68869521.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125968867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14997 + ... + 21836.

It is an arithmetic number, because the mean of its divisors is an integer number (5586490).

Almost surely, 2125968860 is an apocalyptic number.

125968860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125968860 is an abundant number, since it is smaller than the sum of its proper divisors (276258420).

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

125968860 is a wasteful number, since it uses less digits than its factorization.

125968860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36867 (or 36862 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 125968860 is about 11223.5849887636. The cubic root of 125968860 is about 501.2884900678.

The spelling of 125968860 in words is "one hundred twenty-five million, nine hundred sixty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 36833 73666 110499 147332 184165 220998 331497 368330 441996 552495 662994 699827 736660 1104990 1325988 1399654 1657485 2099481 2209980 2799308 3314970 3499135 4198962 6298443 6629940 6998270 8397924 10497405 12596886 13996540 20994810 25193772 31492215 41989620 62984430 125968860