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24380 = 2252353
BaseRepresentation
bin101111100111100
31020102222
411330330
51240010
6304512
7131036
oct57474
936388
1024380
1117354
1212138
13b135
148c56
157355
hex5f3c

24380 has 24 divisors (see below), whose sum is σ = 54432. Its totient is φ = 9152.

The previous prime is 24379. The next prime is 24391. The reversal of 24380 is 8342.

24380 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

24380 is strictly pandigital in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

224380 is an apocalyptic number.

24380 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 24380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216).

24380 is an abundant number, since it is smaller than the sum of its proper divisors (30052).

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

24380 is a wasteful number, since it uses less digits than its factorization.

24380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 83 counting only the distinct ones).

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

The square root of 24380 is about 156.1409619543. The cubic root of 24380 is about 28.9964323792.

It can be divided in two parts, 243 and 80, that added together give a palindrome (323).

The spelling of 24380 in words is "twenty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 53 92 106 115 212 230 265 460 530 1060 1219 2438 4876 6095 12190 24380