13000420 has 24 divisors (see below), whose sum is σ = 27385848. Its totient is φ = 5184000.

The previous prime is 13000411. The next prime is 13000457. The reversal of 13000420 is 2400031.

It can be written as a sum of positive squares in 4 ways, for example, as 6770404 + 6230016 = 2602^2 + 2496^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13000397 and 13000406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7210 + ... + 8830.

It is an arithmetic number, because the mean of its divisors is an integer number (1141077).

Almost surely, 2^13000420 is an apocalyptic number.

13000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000420 is an abundant number, since it is smaller than the sum of its proper divisors (14385428).

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

13000420 is a wasteful number, since it uses less digits than its factorization.

13000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2029 counting only the distinct ones).

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

The square root of 13000420 is about 3605.6095185142. The cubic root of 13000420 is about 235.1360009514.

Adding to 13000420 its reverse (2400031), we get a palindrome (15400451).

The spelling of 13000420 in words is "thirteen million, four hundred twenty", and thus it is an aban number.