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856111080 = 2335114315083
BaseRepresentation
bin110011000001110…
…011011111101000
32012122220221121210
4303001303133220
53223131023310
6220541233120
730133552446
oct6301633750
92178827553
10856111080
113aa285a20
121ba8627a0
1310849aa06
14819b3b96
155025c820
hex330737e8

856111080 has 128 divisors (see below), whose sum is σ = 2867166720. Its totient is φ = 202702080.

The previous prime is 856111073. The next prime is 856111127. The reversal of 856111080 is 80111658.

It is a happy number.

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, 49219 + ... + 64301.

It is an arithmetic number, because the mean of its divisors is an integer number (22399740).

Almost surely, 2856111080 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 856111080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433583360).

856111080 is an abundant number, since it is smaller than the sum of its proper divisors (2011055640).

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

856111080 is a wasteful number, since it uses less digits than its factorization.

856111080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15151 (or 15147 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 856111080 is about 29259.3759331945. The cubic root of 856111080 is about 949.5329486284.

The spelling of 856111080 in words is "eight hundred fifty-six million, one hundred eleven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 9460 11352 14190 15083 18920 28380 30166 45249 56760 60332 75415 90498 120664 150830 165913 180996 226245 301660 331826 361992 452490 497739 603320 648569 663652 829565 904980 995478 1297138 1327304 1659130 1809960 1945707 1990956 2488695 2594276 3242845 3318260 3891414 3981912 4977390 5188552 6485690 6636520 7134259 7782828 9728535 9954780 12971380 14268518 15565656 19457070 19909560 21402777 25942760 28537036 35671295 38914140 42805554 57074072 71342590 77828280 85611108 107013885 142685180 171222216 214027770 285370360 428055540 856111080