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5936 = 24753
BaseRepresentation
bin1011100110000
322010212
41130300
5142221
643252
723210
oct13460
98125
105936
114507
123528
132918
142240
151b5b
hex1730

5936 has 20 divisors (see below), whose sum is σ = 13392. Its totient is φ = 2496.

The previous prime is 5927. The next prime is 5939. The reversal of 5936 is 6395.

5936 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5936.

It is not an unprimeable number, because it can be changed into a prime (5939) by changing a digit.

5936 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 3 ways as a sum of consecutive naturals, for example, 86 + ... + 138.

25936 is an apocalyptic number.

5936 is a gapful number since it is divisible by the number (56) 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 5936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696).

5936 is an abundant number, since it is smaller than the sum of its proper divisors (7456).

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

5936 is a wasteful number, since it uses less digits than its factorization.

5936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its digits is 810, while the sum is 23.

The square root of 5936 is about 77.0454411370. The cubic root of 5936 is about 18.1063661051.

The spelling of 5936 in words is "five thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2968 5936