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125234568 = 233215111519
BaseRepresentation
bin1110111011011…
…10110110001000
322201122120112100
413131232312020
5224030001233
620232113400
73050322234
oct735566610
9281576470
10125234568
1164767648
1235b35860
131cc3a6c4
14128bd5c4
15aedb813
hex776ed88

125234568 has 48 divisors (see below), whose sum is σ = 341452800. Its totient is φ = 41464800.

The previous prime is 125234561. The next prime is 125234579. The reversal of 125234568 is 865432521.

125234568 is a `hidden beast` number, since 1 + 252 + 345 + 68 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125234561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5113 + ... + 16631.

It is an arithmetic number, because the mean of its divisors is an integer number (7113600).

Almost surely, 2125234568 is an apocalyptic number.

125234568 is a gapful number since it is divisible by the number (18) 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 125234568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170726400).

125234568 is an abundant number, since it is smaller than the sum of its proper divisors (216218232).

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

125234568 is a wasteful number, since it uses less digits than its factorization.

125234568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11682 (or 11675 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 125234568 is about 11190.8251706476. The cubic root of 125234568 is about 500.3125619027.

The spelling of 125234568 in words is "one hundred twenty-five million, two hundred thirty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1812 2718 3624 5436 10872 11519 23038 34557 46076 69114 92152 103671 138228 207342 276456 414684 829368 1739369 3478738 5218107 6957476 10436214 13914952 15654321 20872428 31308642 41744856 62617284 125234568