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80164 = 2272409
BaseRepresentation
bin10011100100100100
311001222001
4103210210
510031124
61415044
7452500
oct234444
9131861
1080164
1155257
123a484
132a646
1421300
1518b44
hex13924

80164 has 18 divisors (see below), whose sum is σ = 163590. Its totient is φ = 34272.

The previous prime is 80153. The next prime is 80167. The reversal of 80164 is 46108.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 1764 = 280^2 + 42^2 .

It is a plaindrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (80167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9 + ... + 400.

280164 is an apocalyptic number.

It is an amenable number.

80164 is an abundant number, since it is smaller than the sum of its proper divisors (83426).

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

80164 is a wasteful number, since it uses less digits than its factorization.

80164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 80164 is about 283.1324778262. The cubic root of 80164 is about 43.1181176443.

The spelling of 80164 in words is "eighty thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 409 818 1636 2863 5726 11452 20041 40082 80164