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19938 = 233323
BaseRepresentation
bin100110111100010
31000100110
410313202
51114223
6232150
7112062
oct46742
930313
1019938
1113a86
12b656
1390c9
1473a2
155d93
hex4de2

19938 has 8 divisors (see below), whose sum is σ = 39888. Its totient is φ = 6644.

The previous prime is 19937. The next prime is 19949. The reversal of 19938 is 83991.

It is a happy number.

19938 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

19938 is an admirable number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19937) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1656 + ... + 1667.

It is an arithmetic number, because the mean of its divisors is an integer number (4986).

219938 is an apocalyptic number.

19938 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (19944).

19938 is a wasteful number, since it uses less digits than its factorization.

19938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328.

The product of its digits is 1944, while the sum is 30.

The square root of 19938 is about 141.2019829889. The cubic root of 19938 is about 27.1160981499.

The spelling of 19938 in words is "nineteen thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 3323 6646 9969 19938