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19704 = 233821
BaseRepresentation
bin100110011111000
31000000210
410303320
51112304
6231120
7111306
oct46370
930023
1019704
1113893
12b4a0
138c79
147276
155c89
hex4cf8

19704 has 16 divisors (see below), whose sum is σ = 49320. Its totient is φ = 6560.

The previous prime is 19699. The next prime is 19709. The reversal of 19704 is 40791.

It is an interprime number because it is at equal distance from previous prime (19699) and next prime (19709).

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 19704.

It is not an unprimeable number, because it can be changed into a prime (19709) by changing a digit.

19704 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, 387 + ... + 434.

219704 is an apocalyptic number.

It is an amenable number.

19704 is an abundant number, since it is smaller than the sum of its proper divisors (29616).

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 (24660).

19704 is a wasteful number, since it uses less digits than its factorization.

19704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 19704 is about 140.3709371629. The cubic root of 19704 is about 27.0095987819.

Subtracting from 19704 its sum of digits (21), we obtain a 9-th power (19683 = 39).

The spelling of 19704 in words is "nineteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 24 821 1642 2463 3284 4926 6568 9852 19704