13456530 has 80 divisors (see below), whose sum is σ = 37243800. Its totient is φ = 3483648.

The previous prime is 13456529. The next prime is 13456561. The reversal of 13456530 is 3565431.

13456530 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 653 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13024881 + 431649 = 3609^2 + 657^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13456494 and 13456503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29746 + ... + 30194.

Almost surely, 2^13456530 is an apocalyptic number.

13456530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13456530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18621900).

13456530 is an abundant number, since it is smaller than the sum of its proper divisors (23787270).

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

13456530 is a wasteful number, since it uses less digits than its factorization.

13456530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 13456530 is about 3668.3143267719. The cubic root of 13456530 is about 237.8543114206.

It can be divided in two parts, 1345 and 6530, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 13456530 in words is "thirteen million, four hundred fifty-six thousand, five hundred thirty".