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125364096 = 27321113761
BaseRepresentation
bin1110111100011…
…10011110000000
322201220011012200
413132032132000
5224043122341
620234553200
73051401664
oct736163600
9281804180
10125364096
11648459a0
1235b98800
131cc84650
14129148a4
15b014db6
hex778e780

125364096 has 192 divisors, whose sum is σ = 424373040. Its totient is φ = 35020800.

The previous prime is 125364091. The next prime is 125364097. The reversal of 125364096 is 690463521.

It is a happy number.

125364096 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 640 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 125364096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125364091) 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, 164356 + ... + 165116.

Almost surely, 2125364096 is an apocalyptic number.

125364096 is a gapful number since it is divisible by the number (16) 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 125364096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212186520).

125364096 is an abundant number, since it is smaller than the sum of its proper divisors (299008944).

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

125364096 is a wasteful number, since it uses less digits than its factorization.

125364096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 125364096 is about 11196.6109158084. The cubic root of 125364096 is about 500.4849907492.

It can be divided in two parts, 1253640 and 96, that added together give a triangular number (1253736 = T1583).

The spelling of 125364096 in words is "one hundred twenty-five million, three hundred sixty-four thousand, ninety-six".