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27860 = 2257199
BaseRepresentation
bin110110011010100
31102012212
412303110
51342420
6332552
7144140
oct66324
942185
1027860
1119a28
1214158
13c8b1
14a220
1583c5
hex6cd4

27860 has 24 divisors (see below), whose sum is σ = 67200. Its totient is φ = 9504.

The previous prime is 27851. The next prime is 27883. The reversal of 27860 is 6872.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

27860 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (2800).

227860 is an apocalyptic number.

27860 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 27860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33600).

27860 is an abundant number, since it is smaller than the sum of its proper divisors (39340).

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

27860 is a wasteful number, since it uses less digits than its factorization.

27860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 27860 is about 166.9131510697. The cubic root of 27860 is about 30.3151953178.

It can be divided in two parts, 27 and 860, that multiplied together give a triangular number (23220 = T215).

The spelling of 27860 in words is "twenty-seven thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 796 995 1393 1990 2786 3980 5572 6965 13930 27860