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2682 = 232149
BaseRepresentation
bin101001111010
310200100
4221322
541212
620230
710551
oct5172
93610
102682
112019
121676
1312b4
14d98
15bdc
hexa7a

2682 has 12 divisors (see below), whose sum is σ = 5850. Its totient is φ = 888.

The previous prime is 2677. The next prime is 2683. The reversal of 2682 is 2862.

2682 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in only one way, i.e., 2601 + 81 = 51^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 149 = 2682 / (2 + 6 + 8 + 2).

2682 is an undulating number in base 16.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2682.

It is not an unprimeable number, because it can be changed into a prime (2683) 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 5 ways as a sum of consecutive naturals, for example, 57 + ... + 92.

22682 is an apocalyptic number.

2682 is an abundant number, since it is smaller than the sum of its proper divisors (3168).

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

2682 is a wasteful number, since it uses less digits than its factorization.

2682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 154 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2682 is about 51.7880295049. The cubic root of 2682 is about 13.8937535552.

The spelling of 2682 in words is "two thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 149 298 447 894 1341 2682