13202420 has 48 divisors (see below), whose sum is σ = 34570368. Its totient is φ = 4114560.

The previous prime is 13202411. The next prime is 13202461. The reversal of 13202420 is 2420231.

13202420 = 343² + 344² + ... + 430².

It is a Harshad number since it is a multiple of its sum of digits (14).

13202420 is a modest number, since divided by 2420 gives 1320 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 13202395 and 13202404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2747 + ... + 5826.

It is an arithmetic number, because the mean of its divisors is an integer number (720216).

Almost surely, 2^13202420 is an apocalyptic number.

13202420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13202420 is an abundant number, since it is smaller than the sum of its proper divisors (21367948).

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

13202420 is a wasteful number, since it uses less digits than its factorization.

13202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8600 (or 8598 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 13202420 is about 3633.5134511929. The cubic root of 13202420 is about 236.3475917924.

Adding to 13202420 its reverse (2420231), we get a palindrome (15622651).

The spelling of 13202420 in words is "thirteen million, two hundred two thousand, four hundred twenty".