13709280 has 120 divisors (see below), whose sum is σ = 46782792. Its totient is φ = 3374592.

The previous prime is 13709249. The next prime is 13709287. The reversal of 13709280 is 8290731.

It is a happy number.

13709280 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 338 × 130 × 312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13709287) by changing a digit.

It is a nontrivial repunit in base 239.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1054554 + ... + 1054566.

Almost surely, 2^13709280 is an apocalyptic number.

13709280 is a gapful number since it is divisible by the number (10) 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 13709280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23391396).

13709280 is an abundant number, since it is smaller than the sum of its proper divisors (33073512).

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

13709280 is an frugal number, since it uses more digits than its factorization.

13709280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 13709280 is about 3702.6044887349. The cubic root of 13709280 is about 239.3342661454.

Multiplying 13709280 by its sum of digits (30), we get a square (411278400 = 20280²).

13709280 divided by its sum of digits (30) gives a 4-th power (456976 = 26⁴).

The spelling of 13709280 in words is "thirteen million, seven hundred nine thousand, two hundred eighty".