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13698 = 232761
BaseRepresentation
bin11010110000010
3200210100
43112002
5414243
6143230
754636
oct32602
920710
1013698
11a323
127b16
136309
144dc6
1540d3
hex3582

13698 has 12 divisors (see below), whose sum is σ = 29718. Its totient is φ = 4560.

The previous prime is 13697. The next prime is 13709. The reversal of 13698 is 89631.

It can be written as a sum of positive squares in only one way, i.e., 13689 + 9 = 117^2 + 3^2 .

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13698.

It is not an unprimeable number, because it can be changed into a prime (13691) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 363 + ... + 398.

213698 is an apocalyptic number.

13698 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13698 is an abundant number, since it is smaller than the sum of its proper divisors (16020).

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

13698 is a wasteful number, since it uses less digits than its factorization.

13698 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 766 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 13698 is about 117.0384552188. The cubic root of 13698 is about 23.9268606697.

The spelling of 13698 in words is "thirteen thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 9 18 761 1522 2283 4566 6849 13698