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125260872 = 23311617769
BaseRepresentation
bin1110111011101…
…01010001001000
322201200220121120
413131311101020
5224031321442
620232435240
73050462022
oct735652110
9281626546
10125260872
1164785390
1235b48b20
131cc49679
14128c9012
15aee44ec
hex7775448

125260872 has 64 divisors (see below), whose sum is σ = 342619200. Its totient is φ = 37847040.

The previous prime is 125260871. The next prime is 125260897. The reversal of 125260872 is 278062521.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (125260871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162504 + ... + 163272.

It is an arithmetic number, because the mean of its divisors is an integer number (5353425).

Almost surely, 2125260872 is an apocalyptic number.

125260872 is a gapful number since it is divisible by the number (12) 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 125260872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171309600).

125260872 is an abundant number, since it is smaller than the sum of its proper divisors (217358328).

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

125260872 is a wasteful number, since it uses less digits than its factorization.

125260872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 125260872 is about 11192.0003573981. Note that the first 3 decimals coincide. The cubic root of 125260872 is about 500.3475876430.

The spelling of 125260872 in words is "one hundred twenty-five million, two hundred sixty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 617 769 1234 1538 1851 2307 2468 3076 3702 4614 4936 6152 6787 7404 8459 9228 13574 14808 16918 18456 20361 25377 27148 33836 40722 50754 54296 67672 81444 101508 162888 203016 474473 948946 1423419 1897892 2846838 3795784 5219203 5693676 10438406 11387352 15657609 20876812 31315218 41753624 62630436 125260872