114942240 has 360 divisors, whose sum is σ = 474486012. Its totient is φ = 26127360.

The previous prime is 114942193. The next prime is 114942241. The reversal of 114942240 is 42249411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 96589584 + 18352656 = 9828^2 + 4284^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (114942241) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 634950 + ... + 635130.

Almost surely, 2^114942240 is an apocalyptic number.

114942240 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 114942240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237243006).

114942240 is an abundant number, since it is smaller than the sum of its proper divisors (359543772).

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

114942240 is a wasteful number, since it uses less digits than its factorization.

114942240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114942240 is about 10721.1118826361. Note that the first 3 decimals coincide. The cubic root of 114942240 is about 486.2129839234.

The spelling of 114942240 in words is "one hundred fourteen million, nine hundred forty-two thousand, two hundred forty".