115382820 has 144 divisors (see below), whose sum is σ = 390192768. Its totient is φ = 24952320.

The previous prime is 115382797. The next prime is 115382833. The reversal of 115382820 is 28283511.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 151240 + ... + 152000.

It is an arithmetic number, because the mean of its divisors is an integer number (2709672).

Almost surely, 2^115382820 is an apocalyptic number.

115382820 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 115382820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195096384).

115382820 is an abundant number, since it is smaller than the sum of its proper divisors (274809948).

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

115382820 is a wasteful number, since it uses less digits than its factorization.

115382820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 115382820 is about 10741.6395396606. The cubic root of 115382820 is about 486.8334190149.

The spelling of 115382820 in words is "one hundred fifteen million, three hundred eighty-two thousand, eight hundred twenty".