11310 has 32 divisors (see below), whose sum is σ = 30240. Its totient is φ = 2688.

The previous prime is 11299. The next prime is 11311. The reversal of 11310 is 1311.

11310 is nontrivially palindromic in base 12.

11310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11310^{2} = 255832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

11310 is a nontrivial repdigit in base 12.

It is a plaindrome in base 12.

It is a nialpdrome in base 11 and base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311) by changing a digit.

11310 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 376 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

2^{11310} is an apocalyptic number.

11310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11310 is the 87-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

11310 is an abundant number, since it is smaller than the sum of its proper divisors (18930).

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

11310 is a wasteful number, since it uses less digits than its factorization.

11310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 11310 is about 106.3484837692. The cubic root of 11310 is about 22.4467878335.

Adding to 11310 its reverse (1311), we get a palindrome (12621).

Subtracting from 11310 its reverse (1311), we obtain a palindrome (9999).

The spelling of 11310 in words is "eleven thousand, three hundred ten", and thus it is an iban number.

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 435 754 870 1131 1885 2262 3770 5655 11310

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