253140 has 24 divisors (see below), whose sum is σ = 708960. Its totient is φ = 67488.

The previous prime is 253133. The next prime is 253153. The reversal of 253140 is 41352.

253140 = T₁₄₉ + T₁₅₀ + ... + T₁₆₈.

253140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2050 + ... + 2169.

It is an arithmetic number, because the mean of its divisors is an integer number (29540).

2²⁵³¹⁴⁰ is an apocalyptic number.

253140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253140 is an abundant number, since it is smaller than the sum of its proper divisors (455820).

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

253140 is a wasteful number, since it uses less digits than its factorization.

253140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 253140 is about 503.1302018365. The cubic root of 253140 is about 63.2586994028.

Adding to 253140 its reverse (41352), we get a palindrome (294492).

It can be divided in two parts, 253 and 140, that added together give a palindrome (393).

The spelling of 253140 in words is "two hundred fifty-three thousand, one hundred forty".