11510480 has 20 divisors (see below), whose sum is σ = 26762052. Its totient is φ = 4604160.

The previous prime is 11510467. The next prime is 11510491. The reversal of 11510480 is 8401511.

11510480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2534464 + 8976016 = 1592^2 + 2996^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×11510480² = 264982299660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71861 + ... + 72020.

Almost surely, 2^11510480 is an apocalyptic number.

11510480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11510480 is an abundant number, since it is smaller than the sum of its proper divisors (15251572).

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

11510480 is a wasteful number, since it uses less digits than its factorization.

11510480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143894 (or 143888 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 11510480 is about 3392.7098313885. The cubic root of 11510480 is about 225.7864168487.

Adding to 11510480 its reverse (8401511), we get a palindrome (19911991).

The spelling of 11510480 in words is "eleven million, five hundred ten thousand, four hundred eighty".