23140 has 24 divisors (see below), whose sum is σ = 52920. Its totient is φ = 8448.

The previous prime is 23131. The next prime is 23143. The reversal of 23140 is 4132.

23140 = T₁₂ + T₁₃ + ... + T₅₁.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 23104 = 6^2 + 152^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (23143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 216 + ... + 304.

It is an arithmetic number, because the mean of its divisors is an integer number (2205).

2²³¹⁴⁰ is an apocalyptic number.

23140 is a gapful number since it is divisible by the number (20) 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 23140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26460).

23140 is an abundant number, since it is smaller than the sum of its proper divisors (29780).

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

23140 is a wasteful number, since it uses less digits than its factorization.

23140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 23140 is about 152.1183749585. The cubic root of 23140 is about 28.4962547659.

Adding to 23140 its reverse (4132), we get a palindrome (27272).

The spelling of 23140 in words is "twenty-three thousand, one hundred forty", and thus it is an iban number.