Search a number
-
+
125468172 = 223219533461
BaseRepresentation
bin1110111101001…
…11111000001100
322202002102222100
413132213320030
5224104440142
620241115100
73052314264
oct736477014
9282072870
10125468172
1164907105
1236028a90
131ccbcb2b
14129407a4
15b035b4c
hex77a7e0c

125468172 has 72 divisors (see below), whose sum is σ = 340245360. Its totient is φ = 38862720.

The previous prime is 125468131. The next prime is 125468173. The reversal of 125468172 is 271864521.

125468172 is a `hidden beast` number, since 1 + 25 + 468 + 172 = 666.

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 (125468173) 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, 34522 + ... + 37982.

It is an arithmetic number, because the mean of its divisors is an integer number (4725630).

Almost surely, 2125468172 is an apocalyptic number.

125468172 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 125468172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170122680).

125468172 is an abundant number, since it is smaller than the sum of its proper divisors (214777188).

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

125468172 is a wasteful number, since it uses less digits than its factorization.

125468172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3538 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 125468172 is about 11201.2576079653. The cubic root of 125468172 is about 500.6234516264.

The spelling of 125468172 in words is "one hundred twenty-five million, four hundred sixty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 106 114 159 171 212 228 318 342 477 636 684 954 1007 1908 2014 3021 3461 4028 6042 6922 9063 10383 12084 13844 18126 20766 31149 36252 41532 62298 65759 124596 131518 183433 197277 263036 366866 394554 550299 591831 733732 789108 1100598 1183662 1650897 2201196 2367324 3301794 3485227 6603588 6970454 10455681 13940908 20911362 31367043 41822724 62734086 125468172