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24390 = 2325271
BaseRepresentation
bin101111101000110
31020110100
411331012
51240030
6304530
7131052
oct57506
936410
1024390
1117363
1212146
13b142
148c62
157360
hex5f46

24390 has 24 divisors (see below), whose sum is σ = 63648. Its totient is φ = 6480.

The previous prime is 24379. The next prime is 24391. The reversal of 24390 is 9342.

It is a Cunningham number, because it is equal to 293+1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24391) by changing a digit.

24390 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 11 ways as a sum of consecutive naturals, for example, 46 + ... + 225.

It is an arithmetic number, because the mean of its divisors is an integer number (2652).

24390 is a Friedman number, since it can be written as 29^3+4^0, using all its digits and the basic arithmetic operations.

224390 is an apocalyptic number.

24390 is an abundant number, since it is smaller than the sum of its proper divisors (39258).

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 (31824).

24390 is a wasteful number, since it uses less digits than its factorization.

24390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 24390 is about 156.1729810178. The cubic root of 24390 is about 29.0003963481. Note that the first 3 decimals are identical.

It can be divided in two parts, 243 and 90, that added together give a palindrome (333).

The spelling of 24390 in words is "twenty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 271 542 813 1355 1626 2439 2710 4065 4878 8130 12195 24390