Search a number
-
+
856333060 = 2251112730649
BaseRepresentation
bin110011000010101…
…001101100000100
32012200100020010021
4303002221230010
53223210124220
6220550104524
730135465562
oct6302515404
92180306107
10856333060
113aa417780
121ba94b144
13108547a6b
1481a30a32
15502a34aa
hex330a9b04

856333060 has 48 divisors (see below), whose sum is σ = 1977292800. Its totient is φ = 308931840.

The previous prime is 856333043. The next prime is 856333063. The reversal of 856333060 is 60333658.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (856333063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12616 + ... + 43264.

It is an arithmetic number, because the mean of its divisors is an integer number (41193600).

Almost surely, 2856333060 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 856333060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988646400).

856333060 is an abundant number, since it is smaller than the sum of its proper divisors (1120959740).

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

856333060 is a wasteful number, since it uses less digits than its factorization.

856333060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30796 (or 30794 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 856333060 is about 29263.1690013231. The cubic root of 856333060 is about 949.6150092839.

The spelling of 856333060 in words is "eight hundred fifty-six million, three hundred thirty-three thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1270 1397 2540 2794 5588 6985 13970 27940 30649 61298 122596 153245 306490 337139 612980 674278 1348556 1685695 3371390 3892423 6742780 7784846 15569692 19462115 38924230 42816653 77848460 85633306 171266612 214083265 428166530 856333060