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20430 = 2325227
BaseRepresentation
bin100111111001110
31001000200
410333032
51123210
6234330
7113364
oct47716
931020
1020430
1114393
12b9a6
1393b7
147634
1560c0
hex4fce

20430 has 24 divisors (see below), whose sum is σ = 53352. Its totient is φ = 5424.

The previous prime is 20411. The next prime is 20431. The reversal of 20430 is 3402.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20430.

It is not an unprimeable number, because it can be changed into a prime (20431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24 + ... + 203.

It is an arithmetic number, because the mean of its divisors is an integer number (2223).

220430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26676).

20430 is an abundant number, since it is smaller than the sum of its proper divisors (32922).

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

20430 is a wasteful number, since it uses less digits than its factorization.

20430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 20430 is about 142.9335509949. The cubic root of 20430 is about 27.3373316908.

Adding to 20430 its reverse (3402), we get a palindrome (23832).

The spelling of 20430 in words is "twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 227 454 681 1135 1362 2043 2270 3405 4086 6810 10215 20430