13500420 has 48 divisors (see below), whose sum is σ = 38008320. Its totient is φ = 3580416.

The previous prime is 13500419. The next prime is 13500427. The reversal of 13500420 is 2400531.

13500420 = T₇₅₂ + T₇₅₃ + ... + T₇₉₆.

It is a super-2 number, since 2×13500420² = 364522680352800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13500420.

It is not an unprimeable number, because it can be changed into a prime (13500427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12876 + ... + 13884.

It is an arithmetic number, because the mean of its divisors is an integer number (791840).

Almost surely, 2^13500420 is an apocalyptic number.

13500420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13500420 is an abundant number, since it is smaller than the sum of its proper divisors (24507900).

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

13500420 is a wasteful number, since it uses less digits than its factorization.

13500420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1242 counting only the distinct ones).

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

The square root of 13500420 is about 3674.2917684909. The cubic root of 13500420 is about 238.1126270601.

Adding to 13500420 its reverse (2400531), we get a palindrome (15900951).

The spelling of 13500420 in words is "thirteen million, five hundred thousand, four hundred twenty".