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27460 = 2251373
BaseRepresentation
bin110101101000100
31101200001
412231010
51334320
6331044
7143026
oct65504
941601
1027460
11196a4
1213a84
13c664
14a016
15820a
hex6b44

27460 has 12 divisors (see below), whose sum is σ = 57708. Its totient is φ = 10976.

The previous prime is 27457. The next prime is 27479. The reversal of 27460 is 6472.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 6724 = 144^2 + 82^2 .

It is a nialpdrome in base 13.

It is a congruent number.

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, 667 + ... + 706.

It is an arithmetic number, because the mean of its divisors is an integer number (4809).

227460 is an apocalyptic number.

27460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27460 is an abundant number, since it is smaller than the sum of its proper divisors (30248).

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 (28854).

27460 is a wasteful number, since it uses less digits than its factorization.

27460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 27460 is about 165.7105910918. The cubic root of 27460 is about 30.1694118899.

The spelling of 27460 in words is "twenty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 1373 2746 5492 6865 13730 27460