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160164018 = 232712710009
BaseRepresentation
bin10011000101111…
…10100010110010
3102011101011201200
421202332202302
5312000222033
623520512030
73653241330
oct1142764262
9364334650
10160164018
1182454663
124577b616
132724a311
14173b2b50
15e0db013
hex98be8b2

160164018 has 48 divisors (see below), whose sum is σ = 399759360. Its totient is φ = 45396288.

The previous prime is 160163947. The next prime is 160164023. The reversal of 160164018 is 810461061.

160164018 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 640 + 18 = 666.

160164018 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 160163982 and 160164000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10998 + ... + 21006.

It is an arithmetic number, because the mean of its divisors is an integer number (8328320).

Almost surely, 2160164018 is an apocalyptic number.

160164018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 160164018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199879680).

160164018 is an abundant number, since it is smaller than the sum of its proper divisors (239595342).

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

160164018 is a wasteful number, since it uses less digits than its factorization.

160164018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10151 (or 10148 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 160164018 is about 12655.5923606918. The cubic root of 160164018 is about 543.0689655290.

The spelling of 160164018 in words is "one hundred sixty million, one hundred sixty-four thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1778 2286 2667 5334 8001 10009 16002 20018 30027 60054 70063 90081 140126 180162 210189 420378 630567 1261134 1271143 2542286 3813429 7626858 8898001 11440287 17796002 22880574 26694003 53388006 80082009 160164018