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BaseRepresentation
bin101010010010
310201020
4222102
541311
620310
710614
oct5222
93636
102706
112040
121696
131302
14db4
15c06
hexa92

2706 has 16 divisors (see below), whose sum is σ = 6048. Its totient is φ = 800.

The previous prime is 2699. The next prime is 2707. The reversal of 2706 is 6072.

Adding to 2706 its reverse (6072), we get a palindrome (8778).

It can be divided in two parts, 270 and 6, that added together give a triangular number (276 = T23).

2706 is an undulating number in base 9.

It is a Curzon number.

It is a nialpdrome in base 8, base 14 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2706.

It is not an unprimeable number, because it can be changed into a prime (2707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 86.

It is an arithmetic number, because the mean of its divisors is an integer number (378).

It is a practical number, because each smaller number is the sum of distinct divisors of 2706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024).

2706 is an abundant number, since it is smaller than the sum of its proper divisors (3342).

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

2706 is a wasteful number, since it uses less digits than its factorization.

2706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 2706 is about 52.0192272146. The cubic root of 2706 is about 13.9350735116.

The spelling of 2706 in words is "two thousand, seven hundred six".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706