Search a number
2260 = 225113
BaseRepresentation
bin100011010100
310002201
4203110
533020
614244
76406
oct4324
93081
102260
111775
121384
13104b
14b76
15a0a
hex8d4

2260 has 12 divisors (see below), whose sum is σ = 4788. Its totient is φ = 896.

The previous prime is 2251. The next prime is 2267. The reversal of 2260 is 622.

Adding to 2260 its reverse (622), we get a palindrome (2882).

It can be divided in two parts, 2 and 260, that added together give a palindrome (262).

It is a happy number.

2260 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 324 + 1936 = 18^2 + 44^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

2260 is an undulating number in base 15.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37 + ... + 76.

It is an arithmetic number, because the mean of its divisors is an integer number (399).

22260 is an apocalyptic number.

2260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260 is an abundant number, since it is smaller than the sum of its proper divisors (2528).

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 (2394).

2260 is a wasteful number, since it uses less digits than its factorization.

2260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2260 is about 47.5394572960. The cubic root of 2260 is about 13.1230911812.

The spelling of 2260 in words is "two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260