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BaseRepresentation
bin101110101100000
31012210100
411311200
51231104
6302400
7126456
oct56540
935710
1023904
1116a61
1211a00
13ab5a
1489d6
157139
hex5d60

23904 has 36 divisors (see below), whose sum is σ = 68796. Its totient is φ = 7872.

The previous prime is 23899. The next prime is 23909. The reversal of 23904 is 40932.

23904 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (23899) and next prime (23909).

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23909) by changing a digit.

23904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 247 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (1911).

223904 is an apocalyptic number.

23904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23904 is the 83-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34398).

23904 is an abundant number, since it is smaller than the sum of its proper divisors (44892).

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

23904 is a wasteful number, since it uses less digits than its factorization.

23904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23904 is about 154.6091847207. The cubic root of 23904 is about 28.8064800234.

The spelling of 23904 in words is "twenty-three thousand, nine hundred four".