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125705720 = 235729113137
BaseRepresentation
bin1110111111000…
…01110111111000
322202112111211102
413133201313320
5224140040340
620250150532
73054323660
oct737416770
9282474742
10125705720
1164a59628
1236122448
1320073caa
14129a31a0
15b081215
hex77e1df8

125705720 has 128 divisors (see below), whose sum is σ = 339811200. Its totient is φ = 40943616.

The previous prime is 125705719. The next prime is 125705747. The reversal of 125705720 is 27507521.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917492 + ... + 917628.

It is an arithmetic number, because the mean of its divisors is an integer number (2654775).

Almost surely, 2125705720 is an apocalyptic number.

125705720 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 125705720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169905600).

125705720 is an abundant number, since it is smaller than the sum of its proper divisors (214105480).

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

125705720 is a wasteful number, since it uses less digits than its factorization.

125705720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 125705720 is about 11211.8562245509. The cubic root of 125705720 is about 500.9391947219.

The spelling of 125705720 in words is "one hundred twenty-five million, seven hundred five thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 113 116 137 140 145 203 226 232 274 280 290 406 452 548 565 580 685 791 812 904 959 1015 1096 1130 1160 1370 1582 1624 1918 2030 2260 2740 3164 3277 3836 3955 3973 4060 4520 4795 5480 6328 6554 7672 7910 7946 8120 9590 13108 15481 15820 15892 16385 19180 19865 22939 26216 27811 30962 31640 31784 32770 38360 39730 45878 55622 61924 65540 77405 79460 91756 108367 111244 114695 123848 131080 139055 154810 158920 183512 216734 222488 229390 278110 309620 433468 448949 458780 541835 556220 619240 866936 897898 917560 1083670 1112440 1795796 2167340 2244745 3142643 3591592 4334680 4489490 6285286 8978980 12570572 15713215 17957960 25141144 31426430 62852860 125705720