Search a number
-
+
2320 = 24529
BaseRepresentation
bin100100010000
310011221
4210100
533240
614424
76523
oct4420
93157
102320
11181a
121414
131096
14bba
15a4a
hex910

2320 has 20 divisors (see below), whose sum is σ = 5580. Its totient is φ = 896.

The previous prime is 2311. The next prime is 2333. The reversal of 2320 is 232.

Adding to 2320 its product of nonzero digits (12), we get a palindrome (2332).

Adding to 2320 its reverse (232), we get a palindrome (2552).

2320 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 1024 + 1296 = 32^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (20).

2320 is an undulating number in base 12 and base 15.

It is a nialpdrome in base 8, base 14 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66 + ... + 94.

It is an arithmetic number, because the mean of its divisors is an integer number (279).

22320 is an apocalyptic number.

2320 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 2320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790).

2320 is an abundant number, since it is smaller than the sum of its proper divisors (3260).

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

2320 is a wasteful number, since it uses less digits than its factorization.

2320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 2320 is about 48.1663783152. The cubic root of 2320 is about 13.2382118961.

The spelling of 2320 in words is "two thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320