Search a number
80108 = 2272861
BaseRepresentation
bin10011100011101100
311001212222
4103203230
510030413
61414512
7452360
oct234354
9131788
1080108
1155206
123a438
132a602
14212a0
1518b08
hex138ec

80108 has 12 divisors (see below), whose sum is σ = 160272. Its totient is φ = 34320.

The previous prime is 80107. The next prime is 80111.

It is a happy number.

80108 is nontrivially palindromic in base 10.

80108 is an admirable number.

80108 is a strobogrammatic number because it is the same when read upside-down.

80108 is a modest number, since divided by 108 gives 80 as remainder.

It is not an unprimeable number, because it can be changed into a prime (80107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1403 + ... + 1458.

It is an arithmetic number, because the mean of its divisors is an integer number (13356).

280108 is an apocalyptic number.

It is an amenable number.

80108 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80136).

80108 is a wasteful number, since it uses less digits than its factorization.

80108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 80108 is about 283.0335669139. The cubic root of 80108 is about 43.1080749939.

The spelling of 80108 in words is "eighty thousand, one hundred eight".

Divisors: 1 2 4 7 14 28 2861 5722 11444 20027 40054 80108