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19884 = 2231657
BaseRepresentation
bin100110110101100
31000021110
410312230
51114014
6232020
7111654
oct46654
930243
1019884
1113a37
12b610
139087
147364
155d59
hex4dac

19884 has 12 divisors (see below), whose sum is σ = 46424. Its totient is φ = 6624.

The previous prime is 19867. The next prime is 19889. The reversal of 19884 is 48891.

It is a happy number.

19884 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 19884.

It is not an unprimeable number, because it can be changed into a prime (19889) 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, 817 + ... + 840.

219884 is an apocalyptic number.

It is an amenable number.

19884 is an abundant number, since it is smaller than the sum of its proper divisors (26540).

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 (23212).

19884 is a wasteful number, since it uses less digits than its factorization.

19884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1662 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 19884 is about 141.0106378966. The cubic root of 19884 is about 27.0915956383.

It can be divided in two parts, 198 and 84, that added together give a palindrome (282).

The spelling of 19884 in words is "nineteen thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 12 1657 3314 4971 6628 9942 19884