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2106 = 23413
BaseRepresentation
bin100000111010
32220000
4200322
531411
613430
76066
oct4072
92800
102106
111645
121276
13c60
14aa6
15956
hex83a

2106 has 20 divisors (see below), whose sum is σ = 5082. Its totient is φ = 648.

The previous prime is 2099. The next prime is 2111. The reversal of 2106 is 6012.

Adding to 2106 its reverse (6012), we get a palindrome (8118).

It can be divided in two parts, 210 and 6, that added together give a cube (216 = 63).

It can be written as a sum of positive squares in only one way, i.e., 2025 + 81 = 45^2 + 9^2 .

It is a hoax number, since the sum of its digits (9) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 3, base 13 and base 14.

It is a zygodrome in base 3.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 156 + ... + 168.

2106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541).

2106 is an abundant number, since it is smaller than the sum of its proper divisors (2976).

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

2106 is a wasteful number, since it uses less digits than its factorization.

2106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2106 is about 45.8911756223. The cubic root of 2106 is about 12.8179760451.

The spelling of 2106 in words is "two thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106