Search a number
-
+
23980 = 22511109
BaseRepresentation
bin101110110101100
31012220011
411312230
51231410
6303004
7126625
oct56654
935804
1023980
1117020
1211a64
13abb8
148a4c
15718a
hex5dac

23980 has 24 divisors (see below), whose sum is σ = 55440. Its totient is φ = 8640.

The previous prime is 23977. The next prime is 23981. The reversal of 23980 is 8932.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 166 + ... + 274.

It is an arithmetic number, because the mean of its divisors is an integer number (2310).

223980 is an apocalyptic number.

23980 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 23980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27720).

23980 is an abundant number, since it is smaller than the sum of its proper divisors (31460).

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

23980 is a wasteful number, since it uses less digits than its factorization.

23980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 23980 is about 154.8547706724. The cubic root of 23980 is about 28.8369766818.

The spelling of 23980 in words is "twenty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 218 220 436 545 1090 1199 2180 2398 4796 5995 11990 23980