Search a number
-
+
2430 = 2355
BaseRepresentation
bin100101111110
310100000
4211332
534210
615130
710041
oct4576
93300
102430
11190a
1214a6
13114c
14c58
15ac0
hex97e

2430 has 24 divisors (see below), whose sum is σ = 6552. Its totient is φ = 648.

The previous prime is 2423. The next prime is 2437. The reversal of 2430 is 342.

Adding to 2430 its reverse (342), we get a palindrome (2772).

2430 = 202 + 212 + ... + 242.

2430 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2423) and next prime (2437).

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

2430 is strictly pandigital in base 5.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2437) by changing a digit.

2430 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, 484 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (273).

22430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276).

2430 is an abundant number, since it is smaller than the sum of its proper divisors (4122).

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

2430 is an equidigital number, since it uses as much as digits as its factorization.

2430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22 (or 10 counting only the distinct ones).

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

The square root of 2430 is about 49.2950301755. The cubic root of 2430 is about 13.4442142397. Note that the first 3 decimals are identical.

The spelling of 2430 in words is "two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430