13420 has 24 divisors (see below), whose sum is σ = 31248. Its totient is φ = 4800.

The previous prime is 13417. The next prime is 13421. The reversal of 13420 is 2431.

13420 is digitally balanced in base 2, 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 (10).

13420 is an undulating number in base 11.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13397 and 13406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13421) 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, 190 + ... + 250.

It is an arithmetic number, because the mean of its divisors is an integer number (1302).

2¹³⁴²⁰ is an apocalyptic number.

13420 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 13420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624).

13420 is an abundant number, since it is smaller than the sum of its proper divisors (17828).

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

13420 is a wasteful number, since it uses less digits than its factorization.

13420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 79 counting only the distinct ones).

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

The square root of 13420 is about 115.8447236606. The cubic root of 13420 is about 23.7638884603.

Adding to 13420 its reverse (2431), we get a palindrome (15851).

It can be divided in two parts, 13 and 420, that multiplied together give a triangular number (5460 = T₁₀₄).

The spelling of 13420 in words is "thirteen thousand, four hundred twenty".