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23380 = 2257167
BaseRepresentation
bin101101101010100
31012001221
411231110
51222010
6300124
7125110
oct55524
935057
1023380
1116625
1211644
13a846
148740
156dda
hex5b54

23380 has 24 divisors (see below), whose sum is σ = 56448. Its totient is φ = 7968.

The previous prime is 23371. The next prime is 23399. The reversal of 23380 is 8332.

It is a happy number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

23380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 223.

It is an arithmetic number, because the mean of its divisors is an integer number (2352).

223380 is an apocalyptic number.

23380 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 23380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224).

23380 is an abundant number, since it is smaller than the sum of its proper divisors (33068).

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

23380 is a wasteful number, since it uses less digits than its factorization.

23380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 23380 is about 152.9051993884. The cubic root of 23380 is about 28.5944338525.

It can be divided in two parts, 233 and 80, that added together give a palindrome (313).

The spelling of 23380 in words is "twenty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 167 334 668 835 1169 1670 2338 3340 4676 5845 11690 23380