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125716020 = 223517592089
BaseRepresentation
bin1110111111001…
…00011000110100
322202120000221220
413133210120310
5224140403040
620250310340
73054366003
oct737443064
9282500856
10125716020
1164a66341
12361283b0
13200788a1
14129a6c3a
15b0842d0
hex77e4634

125716020 has 96 divisors (see below), whose sum is σ = 379209600. Its totient is φ = 31002624.

The previous prime is 125716007. The next prime is 125716021. The reversal of 125716020 is 20617521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125716021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59136 + ... + 61224.

It is an arithmetic number, because the mean of its divisors is an integer number (3950100).

Almost surely, 2125716020 is an apocalyptic number.

125716020 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 125716020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189604800).

125716020 is an abundant number, since it is smaller than the sum of its proper divisors (253493580).

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

125716020 is a wasteful number, since it uses less digits than its factorization.

125716020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 125716020 is about 11212.3155503223. The cubic root of 125716020 is about 500.9528762335.

The spelling of 125716020 in words is "one hundred twenty-five million, seven hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 59 60 68 85 102 118 170 177 204 236 255 295 340 354 510 590 708 885 1003 1020 1180 1770 2006 2089 3009 3540 4012 4178 5015 6018 6267 8356 10030 10445 12036 12534 15045 20060 20890 25068 30090 31335 35513 41780 60180 62670 71026 106539 123251 125340 142052 177565 213078 246502 355130 369753 426156 493004 532695 616255 710260 739506 1065390 1232510 1479012 1848765 2095267 2130780 2465020 3697530 4190534 6285801 7395060 8381068 10476335 12571602 20952670 25143204 31429005 41905340 62858010 125716020