Search a number
-
+
856486020 = 2235131915749
BaseRepresentation
bin110011000011001…
…111000010000100
32012200121222221110
4303003033002010
53223230023040
6220553245020
730140003535
oct6303170204
92180558843
10856486020
113aa511695
121baa03770
1310859c580
1481a7068c
15502d3980
hex330cf084

856486020 has 96 divisors (see below), whose sum is σ = 2596608000. Its totient is φ = 209687040.

The previous prime is 856486019. The next prime is 856486031. The reversal of 856486020 is 20684658.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 856486020.

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, 146106 + ... + 151854.

It is an arithmetic number, because the mean of its divisors is an integer number (27048000).

Almost surely, 2856486020 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 856486020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298304000).

856486020 is an abundant number, since it is smaller than the sum of its proper divisors (1740121980).

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

856486020 is a wasteful number, since it uses less digits than its factorization.

856486020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5965 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 856486020 is about 29265.7824088132. The cubic root of 856486020 is about 949.6715466566.

The spelling of 856486020 in words is "eight hundred fifty-six million, four hundred eighty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 191 195 260 382 390 573 764 780 955 1146 1910 2292 2483 2865 3820 4966 5730 5749 7449 9932 11460 11498 12415 14898 17247 22996 24830 28745 29796 34494 37245 49660 57490 68988 74490 74737 86235 114980 148980 149474 172470 224211 298948 344940 373685 448422 747370 896844 1098059 1121055 1494740 2196118 2242110 3294177 4392236 4484220 5490295 6588354 10980590 13176708 14274767 16470885 21961180 28549534 32941770 42824301 57099068 65883540 71373835 85648602 142747670 171297204 214121505 285495340 428243010 856486020