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125516060 = 2252329972
BaseRepresentation
bin1110111101100…
…11100100011100
322202011212122222
413132303210130
5224113003220
620242124512
73052604015
oct736634434
9282155588
10125516060
116493a08a
1236050738
1320008877
141295400c
15b044e25
hex77b391c

125516060 has 72 divisors (see below), whose sum is σ = 287491680. Its totient is φ = 45889536.

The previous prime is 125516023. The next prime is 125516063. The reversal of 125516060 is 60615521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125516063) 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, 1293932 + ... + 1294028.

It is an arithmetic number, because the mean of its divisors is an integer number (3992940).

Almost surely, 2125516060 is an apocalyptic number.

125516060 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 125516060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143745840).

125516060 is an abundant number, since it is smaller than the sum of its proper divisors (161975620).

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

125516060 is a wasteful number, since it uses less digits than its factorization.

125516060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 125516060 is about 11203.3950211532. The cubic root of 125516060 is about 500.6871352577.

The spelling of 125516060 in words is "one hundred twenty-five million, five hundred sixteen thousand, sixty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 97 115 116 145 194 230 290 388 460 485 580 667 970 1334 1940 2231 2668 2813 3335 4462 5626 6670 8924 9409 11155 11252 13340 14065 18818 22310 28130 37636 44620 47045 56260 64699 94090 129398 188180 216407 258796 272861 323495 432814 545722 646990 865628 1082035 1091444 1293980 1364305 2164070 2728610 4328140 5457220 6275803 12551606 25103212 31379015 62758030 125516060