11514240 has 96 divisors (see below), whose sum is σ = 39780000. Its totient is φ = 3068928.

The previous prime is 11514229. The next prime is 11514277. The reversal of 11514240 is 4241511.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4761 + ... + 6759.

It is an arithmetic number, because the mean of its divisors is an integer number (414375).

Almost surely, 2^11514240 is an apocalyptic number.

11514240 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 11514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19890000).

11514240 is an abundant number, since it is smaller than the sum of its proper divisors (28265760).

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

11514240 is a wasteful number, since it uses less digits than its factorization.

11514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 11514240 is about 3393.2639154655. The cubic root of 11514240 is about 225.8109992150.

Adding to 11514240 its reverse (4241511), we get a palindrome (15755751).

The spelling of 11514240 in words is "eleven million, five hundred fourteen thousand, two hundred forty".