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125916260 = 22523299439
BaseRepresentation
bin1111000000101…
…01010001100100
322202221012122012
413200111101210
5224213310020
620254453352
73056161541
oct740252144
9282835565
10125916260
1165092828
1236204258
1320118a82
1412a19bc8
15b0c37c5
hex7815464

125916260 has 48 divisors (see below), whose sum is σ = 285465600. Its totient is φ = 46510464.

The previous prime is 125916257. The next prime is 125916269. The reversal of 125916260 is 62619521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (125916269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8621 + ... + 18059.

It is an arithmetic number, because the mean of its divisors is an integer number (5947200).

Almost surely, 2125916260 is an apocalyptic number.

125916260 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 125916260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142732800).

125916260 is an abundant number, since it is smaller than the sum of its proper divisors (159549340).

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

125916260 is a wasteful number, since it uses less digits than its factorization.

125916260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500 (or 9498 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 125916260 is about 11221.2414642944. The cubic root of 125916260 is about 501.2187070926.

The spelling of 125916260 in words is "one hundred twenty-five million, nine hundred sixteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 9439 13340 18878 37756 47195 94390 188780 217097 273731 434194 547462 868388 1085485 1094924 1368655 2170970 2737310 4341940 5474620 6295813 12591626 25183252 31479065 62958130 125916260