13420512 has 144 divisors (see below), whose sum is σ = 45677520. Its totient is φ = 3822336.

The previous prime is 13420499. The next prime is 13420541. The reversal of 13420512 is 21502431.

13420512 is a `hidden beast` number, since 134 + 20 + 512 = 666.

13420512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13420512² = 360220284684288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42178 + ... + 42494.

It is an arithmetic number, because the mean of its divisors is an integer number (317205).

Almost surely, 2^13420512 is an apocalyptic number.

13420512 is a gapful number since it is divisible by the number (12) 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 13420512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22838760).

13420512 is an abundant number, since it is smaller than the sum of its proper divisors (32257008).

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

13420512 is a wasteful number, since it uses less digits than its factorization.

13420512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13420512 is about 3663.4016978759. The cubic root of 13420512 is about 237.6419066987.

Adding to 13420512 its reverse (21502431), we get a palindrome (34922943).

The spelling of 13420512 in words is "thirteen million, four hundred twenty thousand, five hundred twelve".