114242020 has 48 divisors (see below), whose sum is σ = 252327600. Its totient is φ = 43384320.

The previous prime is 114241999. The next prime is 114242033. The reversal of 114242020 is 20242411.

It can be written as a sum of positive squares in 8 ways, for example, as 22810176 + 91431844 = 4776^2 + 9562^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114241985 and 114242003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33766 + ... + 36994.

It is an arithmetic number, because the mean of its divisors is an integer number (5256825).

Almost surely, 2^114242020 is an apocalyptic number.

114242020 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 114242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126163800).

114242020 is an abundant number, since it is smaller than the sum of its proper divisors (138085580).

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

114242020 is a wasteful number, since it uses less digits than its factorization.

114242020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 114242020 is about 10688.4058680422. The cubic root of 114242020 is about 485.2236471641.

Adding to 114242020 its reverse (20242411), we get a palindrome (134484431).

It can be divided in two parts, 1142420 and 20, that multiplied together give a square (22848400 = 4780²).

The spelling of 114242020 in words is "one hundred fourteen million, two hundred forty-two thousand, twenty".