114205320 has 96 divisors (see below), whose sum is σ = 393021720. Its totient is φ = 28661760.

The previous prime is 114205313. The next prime is 114205363. The reversal of 114205320 is 23502411.

114205320 is a `hidden beast` number, since 114 + 20 + 532 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82192356 + 32012964 = 9066^2 + 5658^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114205293 and 114205302.

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, 3211 + ... + 15450.

Almost surely, 2^114205320 is an apocalyptic number.

114205320 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 114205320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196510860).

114205320 is an abundant number, since it is smaller than the sum of its proper divisors (278816400).

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

114205320 is a wasteful number, since it uses less digits than its factorization.

114205320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18695 (or 18688 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114205320 is about 10686.6889165915. The cubic root of 114205320 is about 485.1716825861.

Adding to 114205320 its reverse (23502411), we get a palindrome (137707731).

The spelling of 114205320 in words is "one hundred fourteen million, two hundred five thousand, three hundred twenty".