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125006720 = 275375279
BaseRepresentation
bin1110111001101…
…11001110000000
322201012222222112
413130313032000
5224000203340
620223154452
73045353036
oct734671600
9281188875
10125006720
1164621443
1235a45a28
131cb8aa97
1412860556
15ae94065
hex7737380

125006720 has 64 divisors (see below), whose sum is σ = 306979200. Its totient is φ = 48642048.

The previous prime is 125006711. The next prime is 125006723. The reversal of 125006720 is 27600521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125006723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21041 + ... + 26319.

It is an arithmetic number, because the mean of its divisors is an integer number (4796550).

Almost surely, 2125006720 is an apocalyptic number.

125006720 is a gapful number since it is divisible by the number (10) 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 125006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153489600).

125006720 is an abundant number, since it is smaller than the sum of its proper divisors (181972480).

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

125006720 is an equidigital number, since it uses as much as digits as its factorization.

125006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5335 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 125006720 is about 11180.6404109961. The cubic root of 125006720 is about 500.0089598394.

The spelling of 125006720 in words is "one hundred twenty-five million, six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 640 740 1184 1480 2368 2960 4736 5279 5920 10558 11840 21116 23680 26395 42232 52790 84464 105580 168928 195323 211160 337856 390646 422320 675712 781292 844640 976615 1562584 1689280 1953230 3125168 3378560 3906460 6250336 7812920 12500672 15625840 25001344 31251680 62503360 125006720