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24164 = 227863
BaseRepresentation
bin101111001100100
31020010222
411321210
51233124
6303512
7130310
oct57144
936128
1024164
1117178
1211b98
13acca
148b40
15725e
hex5e64

24164 has 12 divisors (see below), whose sum is σ = 48384. Its totient is φ = 10344.

The previous prime is 24151. The next prime is 24169. The reversal of 24164 is 46142.

24164 is nontrivially palindromic in base 13.

24164 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (24169) by changing a digit.

24164 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 3 ways as a sum of consecutive naturals, for example, 404 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

224164 is an apocalyptic number.

It is an amenable number.

24164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (24192).

24164 is a wasteful number, since it uses less digits than its factorization.

24164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 872 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 24164 is about 155.4477404146. The cubic root of 24164 is about 28.9105447965.

The spelling of 24164 in words is "twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 863 1726 3452 6041 12082 24164