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27140 = 2252359
BaseRepresentation
bin110101000000100
31101020012
412220010
51332030
6325352
7142061
oct65004
941205
1027140
1119433
1213858
13c479
149c68
158095
hex6a04

27140 has 24 divisors (see below), whose sum is σ = 60480. Its totient is φ = 10208.

The previous prime is 27127. The next prime is 27143. The reversal of 27140 is 4172.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

227140 is an apocalyptic number.

27140 is a gapful number since it is divisible by the number (20) 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 27140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

27140 is an abundant number, since it is smaller than the sum of its proper divisors (33340).

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

27140 is a wasteful number, since it uses less digits than its factorization.

27140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 27140 is about 164.7422228817. The cubic root of 27140 is about 30.0517624886.

The spelling of 27140 in words is "twenty-seven thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 460 590 1180 1357 2714 5428 6785 13570 27140