114098240 has 56 divisors (see below), whose sum is σ = 273634200. Its totient is φ = 45314048.

The previous prime is 114098227. The next prime is 114098261. The reversal of 114098240 is 42890411.

It can be written as a sum of positive squares in 4 ways, for example, as 5271616 + 108826624 = 2296^2 + 10432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46484 + ... + 48876.

It is an arithmetic number, because the mean of its divisors is an integer number (4886325).

Almost surely, 2^114098240 is an apocalyptic number.

114098240 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 114098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136817100).

114098240 is an abundant number, since it is smaller than the sum of its proper divisors (159535960).

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

114098240 is a wasteful number, since it uses less digits than its factorization.

114098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 114098240 is about 10681.6777708373. The cubic root of 114098240 is about 485.0200013008.

The spelling of 114098240 in words is "one hundred fourteen million, ninety-eight thousand, two hundred forty".