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161598164 = 227133114321
BaseRepresentation
bin10011010000111…
…00101011010100
3102021002001000012
421220130223110
5312332120124
624011335352
74001363450
oct1150345324
9367061005
10161598164
1183244102
1246151558
1327630020
1417667660
15e2c0e0e
hex9a1cad4

161598164 has 48 divisors (see below), whose sum is σ = 359310336. Its totient is φ = 61862400.

The previous prime is 161598163. The next prime is 161598167. The reversal of 161598164 is 461895161.

It is a super-2 number, since 2×1615981642 = 52227933216341792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161598163) 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 15 ways as a sum of consecutive naturals, for example, 4124 + ... + 18444.

It is an arithmetic number, because the mean of its divisors is an integer number (7485632).

Almost surely, 2161598164 is an apocalyptic number.

161598164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161598164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179655168).

161598164 is an abundant number, since it is smaller than the sum of its proper divisors (197712172).

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

161598164 is a wasteful number, since it uses less digits than its factorization.

161598164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14376 (or 14374 counting only the distinct ones).

The product of its digits is 51840, while the sum is 41.

The square root of 161598164 is about 12712.1266513515. The cubic root of 161598164 is about 544.6850735057.

The spelling of 161598164 in words is "one hundred sixty-one million, five hundred ninety-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 5642 11284 14321 28642 57284 100247 186173 200494 372346 400988 443951 744692 887902 1303211 1775804 2606422 3107657 5212844 5771363 6215314 11542726 12430628 23085452 40399541 80799082 161598164