Search a number
-
+
23982 = 237571
BaseRepresentation
bin101110110101110
31012220020
411312232
51231412
6303010
7126630
oct56656
935806
1023982
1117022
1211a66
13abba
148a50
15718c
hex5dae

23982 has 16 divisors (see below), whose sum is σ = 54912. Its totient is φ = 6840.

The previous prime is 23981. The next prime is 23993. The reversal of 23982 is 28932.

23982 is nontrivially palindromic in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23981) 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, 244 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (3432).

223982 is an apocalyptic number.

23982 is an abundant number, since it is smaller than the sum of its proper divisors (30930).

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 (27456).

23982 is a wasteful number, since it uses less digits than its factorization.

23982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583.

The product of its digits is 864, while the sum is 24.

The square root of 23982 is about 154.8612282013. The cubic root of 23982 is about 28.8377783547.

Subtracting 23982 from its reverse (28932), we obtain a triangular number (4950 = T99).

The spelling of 23982 in words is "twenty-three thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 571 1142 1713 3426 3997 7994 11991 23982