114305940 has 144 divisors (see below), whose sum is σ = 401401728. Its totient is φ = 25788672.

The previous prime is 114305899. The next prime is 114305963. The reversal of 114305940 is 49503411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104034 + ... + 105126.

It is an arithmetic number, because the mean of its divisors is an integer number (2787512).

Almost surely, 2^114305940 is an apocalyptic number.

114305940 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 114305940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200700864).

114305940 is an abundant number, since it is smaller than the sum of its proper divisors (287095788).

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

114305940 is a wasteful number, since it uses less digits than its factorization.

114305940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 114305940 is about 10691.3956058131. The cubic root of 114305940 is about 485.3141267524.

The spelling of 114305940 in words is "one hundred fourteen million, three hundred five thousand, nine hundred forty".