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23920 = 2451323
BaseRepresentation
bin101110101110000
31012210221
411311300
51231140
6302424
7126511
oct56560
935727
1023920
1116a76
1211a14
13ab70
148a08
15714a
hex5d70

23920 has 40 divisors (see below), whose sum is σ = 62496. Its totient is φ = 8448.

The previous prime is 23917. The next prime is 23929. The reversal of 23920 is 2932.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23894 and 23903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1029 + ... + 1051.

223920 is an apocalyptic number.

23920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248).

23920 is an abundant number, since it is smaller than the sum of its proper divisors (38576).

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

23920 is a wasteful number, since it uses less digits than its factorization.

23920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 23920 is about 154.6609194334. The cubic root of 23920 is about 28.8129057385.

The spelling of 23920 in words is "twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 11960 23920