238120 has 16 divisors (see below), whose sum is σ = 535860. Its totient is φ = 95232.

The previous prime is 238109. The next prime is 238141. The reversal of 238120 is 21832.

It is a happy number.

238120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 198916 + 39204 = 446^2 + 198^2 .

It is a super-2 number, since 2×238120² = 113402268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 238094 and 238103.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 2937 + ... + 3016.

2²³⁸¹²⁰ is an apocalyptic number.

238120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238120 is an abundant number, since it is smaller than the sum of its proper divisors (297740).

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

238120 is a wasteful number, since it uses less digits than its factorization.

238120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 238120 is about 487.9754092165. The cubic root of 238120 is about 61.9819579830.

Adding to 238120 its reverse (21832), we get a palindrome (259952).

It can be divided in two parts, 2381 and 20, that added together give a 4-th power (2401 = 7⁴).

The spelling of 238120 in words is "two hundred thirty-eight thousand, one hundred twenty".