11307240 has 144 divisors (see below), whose sum is σ = 42814980. Its totient is φ = 2580480.

The previous prime is 11307221. The next prime is 11307259. The reversal of 11307240 is 4270311.

It is an interprime number because it is at equal distance from previous prime (11307221) and next prime (11307259).

It can be written as a sum of positive squares in 2 ways, for example, as 11009124 + 298116 = 3318^2 + 546^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17320 + ... + 17960.

Almost surely, 2^11307240 is an apocalyptic number.

11307240 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 11307240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21407490).

11307240 is an abundant number, since it is smaller than the sum of its proper divisors (31507740).

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

11307240 is a wasteful number, since it uses less digits than its factorization.

11307240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11307240 is about 3362.6239754097. The cubic root of 11307240 is about 224.4496177468.

Adding to 11307240 its reverse (4270311), we get a palindrome (15577551).

The spelling of 11307240 in words is "eleven million, three hundred seven thousand, two hundred forty".