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3260 = 225163

3260 has 12 divisors (see below), whose sum is σ = 6888. Its totient is φ = 1296.

The previous prime is 3259. The next prime is 3271. The reversal of 3260 is 623.

It is a happy number.

3260 is nontrivially palindromic in base 6 and base 16.

3260 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

3260 is an undulating number in base 16.

It is a plaindrome in base 7 and base 14.

It is a nialpdrome in base 9 and base 15.

It is a zygodrome in base 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 3260.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62 + ... + 101.

It is an arithmetic number, because the mean of its divisors is an integer number (574).

23260 is an apocalyptic number.

It is an amenable number.

3260 is an abundant number, since it is smaller than the sum of its proper divisors (3628).

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 (3444).

3260 is a wasteful number, since it uses less digits than its factorization.

3260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3260 is about 57.0964096945. The cubic root of 3260 is about 14.8276570743.

Subtracting from 3260 its sum of digits (11), we obtain a square (3249 = 572).

Adding to 3260 its reverse (623), we get a palindrome (3883).

It can be divided in two parts, 3 and 260, that multiplied together give a triangular number (780 = T39).

The spelling of 3260 in words is "three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 163 326 652 815 1630 3260