114420020 has 72 divisors (see below), whose sum is σ = 284506152. Its totient is φ = 38396160.

The previous prime is 114420001. The next prime is 114420037. The reversal of 114420020 is 20024411.

It can be written as a sum of positive squares in 4 ways, for example, as 3833764 + 110586256 = 1958^2 + 10516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114419977 and 114420004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29642 + ... + 33278.

Almost surely, 2^114420020 is an apocalyptic number.

114420020 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 114420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142253076).

114420020 is an abundant number, since it is smaller than the sum of its proper divisors (170086132).

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

114420020 is a wasteful number, since it uses less digits than its factorization.

114420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 114420020 is about 10696.7294066925. The cubic root of 114420020 is about 485.4755246855.

Adding to 114420020 its reverse (20024411), we get a palindrome (134444431).

The spelling of 114420020 in words is "one hundred fourteen million, four hundred twenty thousand, twenty".