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125323660 = 225711174787
BaseRepresentation
bin1110111100001…
…00100110001100
322201211002202001
413132010212030
5224040324120
620234042044
73051143050
oct736044614
9281732661
10125323660
1164818580
1235b79324
131cc6c117
1412903c60
15b007e0a
hex778498c

125323660 has 96 divisors (see below), whose sum is σ = 347493888. Its totient is φ = 36756480.

The previous prime is 125323657. The next prime is 125323673. The reversal of 125323660 is 66323521.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23787 + ... + 28573.

It is an arithmetic number, because the mean of its divisors is an integer number (3619728).

Almost surely, 2125323660 is an apocalyptic number.

125323660 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 125323660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173746944).

125323660 is an abundant number, since it is smaller than the sum of its proper divisors (222170228).

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

125323660 is a wasteful number, since it uses less digits than its factorization.

125323660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 125323660 is about 11194.8050451984. The cubic root of 125323660 is about 500.4311747365.

The spelling of 125323660 in words is "one hundred twenty-five million, three hundred twenty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 140 154 170 187 220 238 308 340 374 385 476 595 748 770 935 1190 1309 1540 1870 2380 2618 3740 4787 5236 6545 9574 13090 19148 23935 26180 33509 47870 52657 67018 81379 95740 105314 134036 162758 167545 210628 263285 325516 335090 368599 406895 526570 569653 670180 737198 813790 895169 1053140 1139306 1474396 1627580 1790338 1842995 2278612 2848265 3580676 3685990 4475845 5696530 6266183 7371980 8951690 11393060 12532366 17903380 25064732 31330915 62661830 125323660