13507280 has 40 divisors (see below), whose sum is σ = 31713000. Its totient is φ = 5349888.

The previous prime is 13507259. The next prime is 13507313. The reversal of 13507280 is 8270531.

It can be written as a sum of positive squares in 4 ways, for example, as 1507984 + 11999296 = 1228^2 + 3464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13507280² = 364893225996800, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7946 + ... + 9494.

It is an arithmetic number, because the mean of its divisors is an integer number (792825).

Almost surely, 2^13507280 is an apocalyptic number.

13507280 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 13507280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15856500).

13507280 is an abundant number, since it is smaller than the sum of its proper divisors (18205720).

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

13507280 is a wasteful number, since it uses less digits than its factorization.

13507280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 13507280 is about 3675.2251631703. The cubic root of 13507280 is about 238.1529511397.

The spelling of 13507280 in words is "thirteen million, five hundred seven thousand, two hundred eighty".