Search a number
-
+
856913820 = 2235716312517
BaseRepresentation
bin110011000100110…
…111011110011100
32012201102201202220
4303010313132130
53223332220240
6221010345340
730143435010
oct6304673634
92181381686
10856913820
113aa784044
121bab8b250
131086bc1c9
1481b42540
155036a5d0
hex3313779c

856913820 has 96 divisors (see below), whose sum is σ = 2759167488. Its totient is φ = 194648832.

The previous prime is 856913809. The next prime is 856913861. The reversal of 856913820 is 28319658.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62202 + ... + 74718.

It is an arithmetic number, because the mean of its divisors is an integer number (28741328).

Almost surely, 2856913820 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 856913820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379583744).

856913820 is an abundant number, since it is smaller than the sum of its proper divisors (1902253668).

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

856913820 is a wasteful number, since it uses less digits than its factorization.

856913820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12699 (or 12697 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 856913820 is about 29273.0903732421. The cubic root of 856913820 is about 949.8296351934.

The spelling of 856913820 in words is "eight hundred fifty-six million, nine hundred thirteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 163 210 326 420 489 652 815 978 1141 1630 1956 2282 2445 3260 3423 4564 4890 5705 6846 9780 11410 12517 13692 17115 22820 25034 34230 37551 50068 62585 68460 75102 87619 125170 150204 175238 187755 250340 262857 350476 375510 438095 525714 751020 876190 1051428 1314285 1752380 2040271 2628570 4080542 5257140 6120813 8161084 10201355 12241626 14281897 20402710 24483252 28563794 30604065 40805420 42845691 57127588 61208130 71409485 85691382 122416260 142818970 171382764 214228455 285637940 428456910 856913820