114920 has 48 divisors (see below), whose sum is σ = 296460. Its totient is φ = 39936.

The previous prime is 114913. The next prime is 114941. The reversal of 114920 is 29411.

114920 = T₄₀ + T₄₁ + ... + T₉₀.

114920 = 14³ + 15³ + ... + 26³.

It is a happy number.

It is a Cunningham number, because it is equal to 339²-1.

It can be written as a sum of positive squares in 6 ways, for example, as 23716 + 91204 = 154^2 + 302^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114920.

It is an unprimeable number.

114920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6752 + ... + 6768.

2¹¹⁴⁹²⁰ is an apocalyptic number.

114920 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 114920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148230).

114920 is an abundant number, since it is smaller than the sum of its proper divisors (181540).

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

114920 is a wasteful number, since it uses less digits than its factorization.

114920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 114920 is about 338.9985250705. The cubic root of 114920 is about 48.6181623029.

The spelling of 114920 in words is "one hundred fourteen thousand, nine hundred twenty".