113273820 has 144 divisors (see below), whose sum is σ = 394692480. Its totient is φ = 26006400.

The previous prime is 113273803. The next prime is 113273821. The reversal of 113273820 is 28372311.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113273821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36115 + ... + 39125.

It is an arithmetic number, because the mean of its divisors is an integer number (2740920).

Almost surely, 2^113273820 is an apocalyptic number.

113273820 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 113273820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197346240).

113273820 is an abundant number, since it is smaller than the sum of its proper divisors (281418660).

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

113273820 is a wasteful number, since it uses less digits than its factorization.

113273820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 113273820 is about 10643.0174292820. The cubic root of 113273820 is about 483.8490012307.

The spelling of 113273820 in words is "one hundred thirteen million, two hundred seventy-three thousand, eight hundred twenty".