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164760912 = 24331093499
BaseRepresentation
bin10011101001000…
…00110101010000
3102111000201111000
421310200311100
5314134322122
624203222000
74040305341
oct1164406520
9374021430
10164760912
1185004348
1247217900
1328199784
1417c4c0c8
15e6e80ac
hex9d20d50

164760912 has 80 divisors (see below), whose sum is σ = 477400000. Its totient is φ = 54400896.

The previous prime is 164760859. The next prime is 164760929. The reversal of 164760912 is 219067461.

164760912 is a `hidden beast` number, since 1 + 6 + 47 + 609 + 1 + 2 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45339 + ... + 48837.

It is an arithmetic number, because the mean of its divisors is an integer number (5967500).

Almost surely, 2164760912 is an apocalyptic number.

164760912 is a gapful number since it is divisible by the number (12) 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 164760912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238700000).

164760912 is an abundant number, since it is smaller than the sum of its proper divisors (312639088).

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

164760912 is a wasteful number, since it uses less digits than its factorization.

164760912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3613 counting only the distinct ones).

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

The square root of 164760912 is about 12835.9227171248. The cubic root of 164760912 is about 548.2156077018.

The spelling of 164760912 in words is "one hundred sixty-four million, seven hundred sixty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 216 218 327 432 436 654 872 981 1308 1744 1962 2616 2943 3499 3924 5232 5886 6998 7848 10497 11772 13996 15696 20994 23544 27992 31491 41988 47088 55984 62982 83976 94473 125964 167952 188946 251928 377892 381391 503856 755784 762782 1144173 1511568 1525564 2288346 3051128 3432519 4576692 6102256 6865038 9153384 10297557 13730076 18306768 20595114 27460152 41190228 54920304 82380456 164760912