Search a number
-
+
856183140 = 2232521122543
BaseRepresentation
bin110011000010000…
…101000101100100
32012200001121110200
4303002011011210
53223140330030
6220542550500
730134302521
oct6302050544
92180047420
10856183140
113aa32507a
121ba898430
131084c4757
14819d2148
1550273d60
hex33085164

856183140 has 72 divisors (see below), whose sum is σ = 2609513088. Its totient is φ = 227223360.

The previous prime is 856183117. The next prime is 856183169. The reversal of 856183140 is 41381658.

856183140 is a `hidden beast` number, since 8 + 5 + 618 + 31 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 856183095 and 856183104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26709 + ... + 49251.

Almost surely, 2856183140 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 856183140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304756544).

856183140 is an abundant number, since it is smaller than the sum of its proper divisors (1753329948).

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

856183140 is a wasteful number, since it uses less digits than its factorization.

856183140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22769 (or 22764 counting only the distinct ones).

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

The square root of 856183140 is about 29260.6073074364. The cubic root of 856183140 is about 949.5595890283.

The spelling of 856183140 in words is "eight hundred fifty-six million, one hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 633 844 1055 1266 1899 2110 2532 3165 3798 4220 6330 7596 9495 12660 18990 22543 37980 45086 67629 90172 112715 135258 202887 225430 270516 338145 405774 450860 676290 811548 1014435 1352580 2028870 4057740 4756573 9513146 14269719 19026292 23782865 28539438 42809157 47565730 57078876 71348595 85618314 95131460 142697190 171236628 214045785 285394380 428091570 856183140