Search a number
-
+
813606156 = 22321114913789
BaseRepresentation
bin110000011111101…
…010010100001100
32002200221110211100
4300133222110030
53131240344111
6212422223100
726106352416
oct6037522414
92080843740
10813606156
11388294390
121a8584a90
13cc737c7c
147a0ab9b6
154b663756
hex307ea50c

813606156 has 72 divisors (see below), whose sum is σ = 2258802000. Its totient is φ = 244874880.

The previous prime is 813606151. The next prime is 813606161. The reversal of 813606156 is 651606318.

It is a happy number.

813606156 is a `hidden beast` number, since 8 + 1 + 36 + 0 + 615 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (813606151) and next prime (813606161).

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

It is a self number, because there is not a number n which added to its sum of digits gives 813606156.

It is not an unprimeable number, because it can be changed into a prime (813606151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52110 + ... + 65898.

It is an arithmetic number, because the mean of its divisors is an integer number (31372250).

Almost surely, 2813606156 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 813606156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129401000).

813606156 is an abundant number, since it is smaller than the sum of its proper divisors (1445195844).

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

813606156 is a wasteful number, since it uses less digits than its factorization.

813606156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13959 (or 13954 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 813606156 is about 28523.7822877682. The cubic root of 813606156 is about 933.5510576529.

The spelling of 813606156 in words is "eight hundred thirteen million, six hundred six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 149 198 298 396 447 596 894 1341 1639 1788 2682 3278 4917 5364 6556 9834 13789 14751 19668 27578 29502 41367 55156 59004 82734 124101 151679 165468 248202 303358 455037 496404 606716 910074 1365111 1820148 2054561 2730222 4109122 5460444 6163683 8218244 12327366 18491049 22600171 24654732 36982098 45200342 67800513 73964196 90400684 135601026 203401539 271202052 406803078 813606156