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806856120 = 233357106727
BaseRepresentation
bin110000000101111…
…010010110111000
32002020020112112000
4300011322112320
53123023343440
6212021421000
725665110130
oct6005722670
92066215460
10806856120
113844a3a44
121a626a760
13cb213775
1479231ac0
154ac7d730
hex3017a5b8

806856120 has 128 divisors (see below), whose sum is σ = 3073766400. Its totient is φ = 184422528.

The previous prime is 806856107. The next prime is 806856121. The reversal of 806856120 is 21658608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806856121) 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, 45804 + ... + 60923.

It is an arithmetic number, because the mean of its divisors is an integer number (24013800).

Almost surely, 2806856120 is an apocalyptic number.

It is an amenable number.

806856120 is an abundant number, since it is smaller than the sum of its proper divisors (2266910280).

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

806856120 is a wasteful number, since it uses less digits than its factorization.

806856120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106754 (or 106744 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 806856120 is about 28405.2129018601. The cubic root of 806856120 is about 930.9621675804.

The spelling of 806856120 in words is "eight hundred six million, eight hundred fifty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 106727 213454 320181 426908 533635 640362 747089 853816 960543 1067270 1280724 1494178 1600905 1921086 2134540 2241267 2561448 2881629 2988356 3201810 3735445 3842172 4269080 4482534 4802715 5763258 5976712 6403620 6723801 7470890 7684344 8965068 9605430 11206335 11526516 12807240 13447602 14408145 14941780 17930136 19210860 20171403 22412670 23053032 26895204 28816290 29883560 33619005 38421720 40342806 44825340 53790408 57632580 67238010 80685612 89650680 100857015 115265160 134476020 161371224 201714030 268952040 403428060 806856120