Search a number
-
+
156160116 = 22337673083
BaseRepresentation
bin10010100111011…
…01000001110100
3101212211202102000
421103231001310
5304434110431
623255015300
73604224210
oct1123550164
9355752360
10156160116
118016a452
124436a530
1326477a48
1416a4d940
15da999e6
hex94ed074

156160116 has 96 divisors (see below), whose sum is σ = 469754880. Its totient is φ = 43936992.

The previous prime is 156160111. The next prime is 156160129. The reversal of 156160116 is 611061651.

156160116 is a `hidden beast` number, since 1 + 56 + 1 + 601 + 1 + 6 = 666.

156160116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 156160116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156160111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49111 + ... + 52193.

It is an arithmetic number, because the mean of its divisors is an integer number (4893280).

Almost surely, 2156160116 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 156160116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234877440).

156160116 is an abundant number, since it is smaller than the sum of its proper divisors (313594764).

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

156160116 is a wasteful number, since it uses less digits than its factorization.

156160116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 156160116 is about 12496.4041227867. The cubic root of 156160116 is about 538.5053731201.

The spelling of 156160116 in words is "one hundred fifty-six million, one hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 67 84 108 126 134 189 201 252 268 378 402 469 603 756 804 938 1206 1407 1809 1876 2412 2814 3083 3618 4221 5628 6166 7236 8442 9249 12332 12663 16884 18498 21581 25326 27747 36996 43162 50652 55494 64743 83241 86324 110988 129486 166482 194229 206561 258972 332964 388458 413122 582687 619683 776916 826244 1165374 1239366 1445927 1859049 2330748 2478732 2891854 3718098 4337781 5577147 5783708 7436196 8675562 11154294 13013343 17351124 22308588 26026686 39040029 52053372 78080058 156160116