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159315156 = 2232711134421
BaseRepresentation
bin10010111111011…
…11010011010100
3102002210001022100
421133233103110
5311241041111
623450402100
73643104450
oct1137572324
9362701270
10159315156
1181a24920
1245430330
1327010b30
1417231660
15debe756
hex97ef4d4

159315156 has 144 divisors (see below), whose sum is σ = 540828288. Its totient is φ = 38188800.

The previous prime is 159315151. The next prime is 159315157. The reversal of 159315156 is 651513951.

159315156 is a `hidden beast` number, since 1 + 593 + 15 + 1 + 56 = 666.

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 159315156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159315151) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33826 + ... + 38246.

It is an arithmetic number, because the mean of its divisors is an integer number (3755752).

Almost surely, 2159315156 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 159315156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270414144).

159315156 is an abundant number, since it is smaller than the sum of its proper divisors (381513132).

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

159315156 is a wasteful number, since it uses less digits than its factorization.

159315156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4457 counting only the distinct ones).

The product of its digits is 20250, while the sum is 36.

The square root of 159315156 is about 12622.0107748330. The cubic root of 159315156 is about 542.1078519776.

The spelling of 159315156 in words is "one hundred fifty-nine million, three hundred fifteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 4421 5148 6006 8842 9009 12012 13263 17684 18018 26526 30947 36036 39789 48631 53052 57473 61894 79578 92841 97262 114946 123788 145893 159156 172419 185682 194524 229892 278523 291786 340417 344838 371364 402311 437679 517257 557046 583572 632203 680834 689676 804622 875358 1021251 1034514 1114092 1206933 1264406 1361668 1609244 1750716 1896609 2042502 2069028 2413866 2528812 3063753 3620799 3793218 4085004 4425421 4827732 5689827 6127506 7241598 7586436 8850842 11379654 12255012 13276263 14483196 17701684 22759308 26552526 39828789 53105052 79657578 159315156