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856086 = 2371117109
BaseRepresentation
bin11010001000000010110
31121111022220
43101000112
5204343321
630203210
710163610
oct3210026
91544286
10856086
11535210
12353506
1323c87a
14183db0
1511d9c6
hexd1016

856086 has 64 divisors (see below), whose sum is σ = 2280960. Its totient is φ = 207360.

The previous prime is 856081. The next prime is 856099. The reversal of 856086 is 680658.

856086 is a nontrivial binomial coefficient, being equal to C(1309, 2).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856081) by changing a digit.

856086 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7800 + ... + 7908.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2856086 is an apocalyptic number.

856086 is the 1308-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140480).

856086 is an abundant number, since it is smaller than the sum of its proper divisors (1424874).

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

856086 is a wasteful number, since it uses less digits than its factorization.

856086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 856086 is about 925.2491556332. The cubic root of 856086 is about 94.9523676265.

It can be divided in two parts, 8560 and 86, that added together give a triangular number (8646 = T131).

The spelling of 856086 in words is "eight hundred fifty-six thousand, eighty-six".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 109 119 154 187 218 231 238 327 357 374 462 561 654 714 763 1122 1199 1309 1526 1853 2289 2398 2618 3597 3706 3927 4578 5559 7194 7854 8393 11118 12971 16786 20383 25179 25942 38913 40766 50358 61149 77826 122298 142681 285362 428043 856086