111945240 has 224 divisors, whose sum is σ = 413154000. Its totient is φ = 27060480.

The previous prime is 111945233. The next prime is 111945271. The reversal of 111945240 is 42549111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 320586 + ... + 320934.

Almost surely, 2^111945240 is an apocalyptic number.

111945240 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 111945240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206577000).

111945240 is an abundant number, since it is smaller than the sum of its proper divisors (301208760).

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

111945240 is a wasteful number, since it uses less digits than its factorization.

111945240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 111945240 is about 10580.4177611283. The cubic root of 111945240 is about 481.9498808674.

The spelling of 111945240 in words is "one hundred eleven million, nine hundred forty-five thousand, two hundred forty".