13781480 has 32 divisors (see below), whose sum is σ = 31293000. Its totient is φ = 5462016.

The previous prime is 13781477. The next prime is 13781491. The reversal of 13781480 is 8418731.

It can be written as a sum of positive squares in 4 ways, for example, as 3833764 + 9947716 = 1958^2 + 3154^2 .

It is a super-3 number, since 3×13781480³ (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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, 2996 + ... + 6044.

Almost surely, 2^13781480 is an apocalyptic number.

13781480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13781480 is an abundant number, since it is smaller than the sum of its proper divisors (17511520).

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

13781480 is a wasteful number, since it uses less digits than its factorization.

13781480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 13781480 is about 3712.3415791115. The cubic root of 13781480 is about 239.7536824703.

The spelling of 13781480 in words is "thirteen million, seven hundred eighty-one thousand, four hundred eighty".