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27080 = 235677
BaseRepresentation
bin110100111001000
31101010222
412213020
51331310
6325212
7141644
oct64710
941128
1027080
1119389
1213808
13c431
149c24
158055
hex69c8

27080 has 16 divisors (see below), whose sum is σ = 61020. Its totient is φ = 10816.

The previous prime is 27077. The next prime is 27091. The reversal of 27080 is 8072.

27080 = T35 + T36 + ... + T58.

It can be written as a sum of positive squares in 2 ways, for example, as 24964 + 2116 = 158^2 + 46^2 .

It is a nialpdrome in base 13.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 299 + ... + 378.

227080 is an apocalyptic number.

27080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27080 is an abundant number, since it is smaller than the sum of its proper divisors (33940).

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 (30510).

27080 is a wasteful number, since it uses less digits than its factorization.

27080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 27080 is about 164.5600194458. The cubic root of 27080 is about 30.0296004139.

The spelling of 27080 in words is "twenty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 677 1354 2708 3385 5416 6770 13540 27080