115338820 has 24 divisors (see below), whose sum is σ = 244712664. Its totient is φ = 45659136.

The previous prime is 115338809. The next prime is 115338823. The reversal of 115338820 is 28833511.

It can be written as a sum of positive squares in 4 ways, for example, as 23639044 + 91699776 = 4862^2 + 9576^2 .

It is not an unprimeable number, because it can be changed into a prime (115338823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27787 + ... + 31666.

It is an arithmetic number, because the mean of its divisors is an integer number (10196361).

Almost surely, 2^115338820 is an apocalyptic number.

115338820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115338820 is an abundant number, since it is smaller than the sum of its proper divisors (129373844).

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

115338820 is a wasteful number, since it uses less digits than its factorization.

115338820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59559 (or 59557 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 115338820 is about 10739.5912398936. The cubic root of 115338820 is about 486.7715282474.

The spelling of 115338820 in words is "one hundred fifteen million, three hundred thirty-eight thousand, eight hundred twenty".