11500240 has 40 divisors (see below), whose sum is σ = 27665640. Its totient is φ = 4440576.

The previous prime is 11500219. The next prime is 11500249. The reversal of 11500240 is 4200511.

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 8596624 = 1704^2 + 2932^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 11500240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11500249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159 + ... + 4798.

It is an arithmetic number, because the mean of its divisors is an integer number (691641).

Almost surely, 2^11500240 is an apocalyptic number.

11500240 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 11500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13832820).

11500240 is an abundant number, since it is smaller than the sum of its proper divisors (16165400).

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

11500240 is a wasteful number, since it uses less digits than its factorization.

11500240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 11500240 is about 3391.2003774475. The cubic root of 11500240 is about 225.7194419741.

Adding to 11500240 its reverse (4200511), we get a palindrome (15700751).

The spelling of 11500240 in words is "eleven million, five hundred thousand, two hundred forty".