11306240 has 108 divisors (see below), whose sum is σ = 30175572. Its totient is φ = 4055040.

The previous prime is 11306219. The next prime is 11306249. The reversal of 11306240 is 4260311.

11306240 = T₄₃ + T₄₄ + ... + T₄₀₇.

It can be written as a sum of positive squares in 2 ways, for example, as 5234944 + 6071296 = 2288^2 + 2464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11306249) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 154844 + ... + 154916.

Almost surely, 2^11306240 is an apocalyptic number.

11306240 is a gapful number since it is divisible by the number (10) 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 11306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087786).

11306240 is an abundant number, since it is smaller than the sum of its proper divisors (18869332).

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

11306240 is an equidigital number, since it uses as much as digits as its factorization.

11306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 11306240 is about 3362.4752787195. The cubic root of 11306240 is about 224.4430008585.

Adding to 11306240 its reverse (4260311), we get a palindrome (15566551).

The spelling of 11306240 in words is "eleven million, three hundred six thousand, two hundred forty".