13507380 has 36 divisors (see below), whose sum is σ = 40972932. Its totient is φ = 3601920.

The previous prime is 13507379. The next prime is 13507381. The reversal of 13507380 is 8370531.

13507380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13507379) and next prime (13507381).

It can be written as a sum of positive squares in 2 ways, for example, as 9072144 + 4435236 = 3012^2 + 2106^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13507381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37341 + ... + 37700.

It is an arithmetic number, because the mean of its divisors is an integer number (1138137).

Almost surely, 2^13507380 is an apocalyptic number.

13507380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13507380 is an abundant number, since it is smaller than the sum of its proper divisors (27465552).

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

13507380 is a wasteful number, since it uses less digits than its factorization.

13507380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75056 (or 75051 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13507380 is about 3675.2387677537. The cubic root of 13507380 is about 238.1535388533.

The spelling of 13507380 in words is "thirteen million, five hundred seven thousand, three hundred eighty".