11504140 has 48 divisors (see below), whose sum is σ = 25583040. Its totient is φ = 4336640.

The previous prime is 11504137. The next prime is 11504147. The reversal of 11504140 is 4140511.

It is not an unprimeable number, because it can be changed into a prime (11504147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40800 + ... + 41080.

It is an arithmetic number, because the mean of its divisors is an integer number (532980).

Almost surely, 2^11504140 is an apocalyptic number.

11504140 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 11504140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791520).

11504140 is an abundant number, since it is smaller than the sum of its proper divisors (14078900).

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

11504140 is a wasteful number, since it uses less digits than its factorization.

11504140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 11504140 is about 3391.7753463341. The cubic root of 11504140 is about 225.7449546686.

Adding to 11504140 its reverse (4140511), we get a palindrome (15644651).

The spelling of 11504140 in words is "eleven million, five hundred four thousand, one hundred forty".