11515140 has 288 divisors, whose sum is σ = 46475520. Its totient is φ = 2239488.

The previous prime is 11515139. The next prime is 11515181. The reversal of 11515140 is 4151511.

It is a happy number.

11515140 is a `hidden beast` number, since 1 + 151 + 514 + 0 = 666.

11515140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311202 + ... + 311238.

Almost surely, 2^11515140 is an apocalyptic number.

11515140 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 11515140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23237760).

11515140 is an abundant number, since it is smaller than the sum of its proper divisors (34960380).

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

11515140 is a wasteful number, since it uses less digits than its factorization.

11515140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 11515140 is about 3393.3965285537. The cubic root of 11515140 is about 225.8168824982.

Adding to 11515140 its reverse (4151511), we get a palindrome (15666651).

The spelling of 11515140 in words is "eleven million, five hundred fifteen thousand, one hundred forty".