113780240 has 80 divisors (see below), whose sum is σ = 304147200. Its totient is φ = 38776320.

The previous prime is 113780221. The next prime is 113780267. The reversal of 113780240 is 42087311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110930 + ... + 111950.

It is an arithmetic number, because the mean of its divisors is an integer number (3801840).

Almost surely, 2^113780240 is an apocalyptic number.

113780240 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 113780240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152073600).

113780240 is an abundant number, since it is smaller than the sum of its proper divisors (190366960).

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

113780240 is a wasteful number, since it uses less digits than its factorization.

113780240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 113780240 is about 10666.7820827089. The cubic root of 113780240 is about 484.5689868301.

It can be divided in two parts, 11 and 3780240, that multiplied together give a triangular number (41582640 = T₉₁₁₉).

The spelling of 113780240 in words is "one hundred thirteen million, seven hundred eighty thousand, two hundred forty".