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27936 = 253297
BaseRepresentation
bin110110100100000
31102022200
412310200
51343221
6333200
7144306
oct66440
942280
1027936
1119a97
1214200
13c93c
14a276
158426
hex6d20

27936 has 36 divisors (see below), whose sum is σ = 80262. Its totient is φ = 9216.

The previous prime is 27919. The next prime is 27941. The reversal of 27936 is 63972.

It can be written as a sum of positive squares in only one way, i.e., 24336 + 3600 = 156^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 6 and base 8.

It is a congruent number.

It is an unprimeable number.

27936 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 5 ways as a sum of consecutive naturals, for example, 240 + ... + 336.

227936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40131).

27936 is an abundant number, since it is smaller than the sum of its proper divisors (52326).

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

27936 is a wasteful number, since it uses less digits than its factorization.

27936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 27936 is about 167.1406593262. The cubic root of 27936 is about 30.3427361530.

The spelling of 27936 in words is "twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1552 1746 2328 3104 3492 4656 6984 9312 13968 27936