Search a number
-
+
125170728 = 233172971149
BaseRepresentation
bin1110111010111…
…11010000101000
322201112022221220
413131133100220
5224020430403
620230502040
73046635144
oct735372050
9281468856
10125170728
1164723691
1235b04920
131cc17627
14128a4224
15aec7953
hex775f428

125170728 has 128 divisors (see below), whose sum is σ = 349920000. Its totient is φ = 37130240.

The previous prime is 125170709. The next prime is 125170739. The reversal of 125170728 is 827071521.

It is a super-2 number, since 2×1251707282 = 31335422296099968, which contains 22 as substring.

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, 839998 + ... + 840146.

It is an arithmetic number, because the mean of its divisors is an integer number (2733750).

Almost surely, 2125170728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125170728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174960000).

125170728 is an abundant number, since it is smaller than the sum of its proper divisors (224749272).

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

125170728 is a wasteful number, since it uses less digits than its factorization.

125170728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 125170728 is about 11187.9724704702. The cubic root of 125170728 is about 500.2275337744.

The spelling of 125170728 in words is "one hundred twenty-five million, one hundred seventy thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 71 87 102 116 136 142 149 174 204 213 232 284 298 348 408 426 447 493 568 596 696 852 894 986 1192 1207 1479 1704 1788 1972 2059 2414 2533 2958 3576 3621 3944 4118 4321 4828 5066 5916 6177 7242 7599 8236 8642 9656 10132 10579 11832 12354 12963 14484 15198 16472 17284 20264 21158 24708 25926 28968 30396 31737 34568 35003 42316 49416 51852 60792 63474 70006 73457 84632 103704 105009 126948 140012 146914 179843 210018 220371 253896 280024 293828 306791 359686 420036 440742 539529 587656 613582 719372 840072 881484 920373 1079058 1227164 1438744 1762968 1840746 2158116 2454328 3681492 4316232 5215447 7362984 10430894 15646341 20861788 31292682 41723576 62585364 125170728