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23748 = 2231979
BaseRepresentation
bin101110011000100
31012120120
411303010
51224443
6301540
7126144
oct56304
935516
1023748
111692a
12118b0
13aa6a
148924
157083
hex5cc4

23748 has 12 divisors (see below), whose sum is σ = 55440. Its totient is φ = 7912.

The previous prime is 23747. The next prime is 23753. The reversal of 23748 is 84732.

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

It is a d-powerful number, because it can be written as 27 + 39 + 74 + 45 + 83 .

It is not an unprimeable number, because it can be changed into a prime (23741) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 978 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

223748 is an apocalyptic number.

It is an amenable number.

23748 is an abundant number, since it is smaller than the sum of its proper divisors (31692).

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 (27720).

23748 is a wasteful number, since it uses less digits than its factorization.

23748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1984 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 23748 is about 154.1038610808. The cubic root of 23748 is about 28.7436785093.

The spelling of 23748 in words is "twenty-three thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 1979 3958 5937 7916 11874 23748