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856112520 = 233517478929
BaseRepresentation
bin110011000001110…
…011110110001000
32012122221000121010
4303001303312020
53223131100040
6220541243520
730133556604
oct6301636610
92178830533
10856112520
113aa28700a
121ba8635a0
1310849b573
14819b4504
155025ce80
hex33073d88

856112520 has 128 divisors (see below), whose sum is σ = 2777587200. Its totient is φ = 210272256.

The previous prime is 856112519. The next prime is 856112531. The reversal of 856112520 is 25211658.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 91416 + ... + 100344.

It is an arithmetic number, because the mean of its divisors is an integer number (21699900).

Almost surely, 2856112520 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 856112520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388793600).

856112520 is an abundant number, since it is smaller than the sum of its proper divisors (1921474680).

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

856112520 is a wasteful number, since it uses less digits than its factorization.

856112520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9007 (or 9003 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 856112520 is about 29259.4005406809. The cubic root of 856112520 is about 949.5334810074.

The spelling of 856112520 in words is "eight hundred fifty-six million, one hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 47 51 60 68 85 94 102 120 136 141 170 188 204 235 255 282 340 376 408 470 510 564 680 705 799 940 1020 1128 1410 1598 1880 2040 2397 2820 3196 3995 4794 5640 6392 7990 8929 9588 11985 15980 17858 19176 23970 26787 31960 35716 44645 47940 53574 71432 89290 95880 107148 133935 151793 178580 214296 267870 303586 357160 419663 455379 535740 607172 758965 839326 910758 1071480 1214344 1258989 1517930 1678652 1821516 2098315 2276895 2517978 3035860 3357304 3643032 4196630 4553790 5035956 6071720 6294945 7134271 8393260 9107580 10071912 12589890 14268542 16786520 18215160 21402813 25179780 28537084 35671355 42805626 50359560 57074168 71342710 85611252 107014065 142685420 171222504 214028130 285370840 428056260 856112520