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13481 = 131761
BaseRepresentation
bin11010010101001
3200111022
43102221
5412411
6142225
754206
oct32251
920438
1013481
11a146
127975
1361a0
153edb
hex34a9

13481 has 8 divisors (see below), whose sum is σ = 15624. Its totient is φ = 11520.

The previous prime is 13477. The next prime is 13487. The reversal of 13481 is 18431.

Subtracting 13481 from its reverse (18431), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 13 and 481, that added together give a palindrome (494).

13481 = 92 + 102 + ... + 342.

It is a happy number.

13481 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25 + 13456 = 5^2 + 116^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13481 - 22 = 13477 is a prime.

It is a super-2 number, since 2×134812 = 363474722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

13481 is a modest number, since divided by 481 gives 13 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13481.

It is not an unprimeable number, because it can be changed into a prime (13487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191 + ... + 251.

It is an arithmetic number, because the mean of its divisors is an integer number (1953).

213481 is an apocalyptic number.

It is an amenable number.

13481 is a deficient number, since it is larger than the sum of its proper divisors (2143).

13481 is a wasteful number, since it uses less digits than its factorization.

13481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91.

The product of its digits is 96, while the sum is 17.

The square root of 13481 is about 116.1077086158. The cubic root of 13481 is about 23.7998399349.

The spelling of 13481 in words is "thirteen thousand, four hundred eighty-one".

Divisors: 1 13 17 61 221 793 1037 13481