11503140 has 96 divisors (see below), whose sum is σ = 36408960. Its totient is φ = 2688000.

The previous prime is 11503103. The next prime is 11503153. The reversal of 11503140 is 4130511.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18840 + ... + 19440.

It is an arithmetic number, because the mean of its divisors is an integer number (379260).

Almost surely, 2^11503140 is an apocalyptic number.

11503140 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 11503140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18204480).

11503140 is an abundant number, since it is smaller than the sum of its proper divisors (24905820).

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

11503140 is a wasteful number, since it uses less digits than its factorization.

11503140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 11503140 is about 3391.6279277067. The cubic root of 11503140 is about 225.7384135018.

Adding to 11503140 its reverse (4130511), we get a palindrome (15633651).

The spelling of 11503140 in words is "eleven million, five hundred three thousand, one hundred forty".