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162079164 = 223313671723
BaseRepresentation
bin10011010100100…
…10000110111100
3102021222110211000
421222102012330
5312443013124
624025530300
74005436002
oct1152220674
9367873730
10162079164
1183542525
1246343990
132776ac40
1417750a72
15e3686c9
hex9a921bc

162079164 has 96 divisors (see below), whose sum is σ = 459549440. Its totient is φ = 49097664.

The previous prime is 162079157. The next prime is 162079187. The reversal of 162079164 is 461970261.

162079164 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 (36).

It is a congruent number.

It is an unprimeable number.

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, 93207 + ... + 94929.

Almost surely, 2162079164 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 162079164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229774720).

162079164 is an abundant number, since it is smaller than the sum of its proper divisors (297470276).

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

162079164 is a wasteful number, since it uses less digits than its factorization.

162079164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 162079164 is about 12731.0315371536. The cubic root of 162079164 is about 545.2249600159.

The spelling of 162079164 in words is "one hundred sixty-two million, seventy-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 108 117 134 156 201 234 268 351 402 468 603 702 804 871 1206 1404 1723 1742 1809 2412 2613 3446 3484 3618 5169 5226 6892 7236 7839 10338 10452 15507 15678 20676 22399 23517 31014 31356 44798 46521 47034 62028 67197 89596 93042 94068 115441 134394 186084 201591 230882 268788 346323 403182 461764 604773 692646 806364 1038969 1209546 1385292 1500733 2077938 2419092 3001466 3116907 4155876 4502199 6002932 6233814 9004398 12467628 13506597 18008796 27013194 40519791 54026388 81039582 162079164