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125424704 = 2623139613
BaseRepresentation
bin1110111100111…
…01010001000000
322202000020100102
413132131101000
5224102042304
620240141532
73052043456
oct736352100
9282006312
10125424704
1164887489
12360078a8
131cca6102
141292c9d6
15b027d1e
hex779d440

125424704 has 56 divisors (see below), whose sum is σ = 262006080. Its totient is φ = 59457024.

The previous prime is 125424697. The next prime is 125424721. The reversal of 125424704 is 407424521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204302 + ... + 204914.

It is an arithmetic number, because the mean of its divisors is an integer number (4678680).

Almost surely, 2125424704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131003040).

125424704 is an abundant number, since it is smaller than the sum of its proper divisors (136581376).

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

125424704 is a wasteful number, since it uses less digits than its factorization.

125424704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The square root of 125424704 is about 11199.3171220392. The cubic root of 125424704 is about 500.5656318799.

The spelling of 125424704 in words is "one hundred twenty-five million, four hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 139 184 278 368 556 613 736 1112 1226 1472 2224 2452 3197 4448 4904 6394 8896 9808 12788 14099 19616 25576 28198 39232 51152 56396 85207 102304 112792 170414 204608 225584 340828 451168 681656 902336 1363312 1959761 2726624 3919522 5453248 7839044 15678088 31356176 62712352 125424704