Base | Representation |
---|---|
bin | 1000000010001100001110 |
3 | 10222000001200 |
4 | 20002030032 |
5 | 1014344001 |
6 | 113050330 |
7 | 23621211 |
oct | 10021416 |
9 | 3860050 |
10 | 2106126 |
11 | 1209400 |
12 | 8569a6 |
13 | 589839 |
14 | 3cb778 |
15 | 2b9086 |
hex | 20230e |
2106126 has 36 divisors (see below), whose sum is σ = 5021016. Its totient is φ = 637560.
The previous prime is 2106107. The next prime is 2106149. The reversal of 2106126 is 6216012.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2106099 and 2106108.
It is a congruent number.
It is an unprimeable number.
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 17 ways as a sum of consecutive naturals, for example, 1695 + ... + 2661.
22106126 is an apocalyptic number.
2106126 is the 726-th decagonal number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2106126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510508).
2106126 is an abundant number, since it is smaller than the sum of its proper divisors (2914890).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2106126 is a wasteful number, since it uses less digits than its factorization.
2106126 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 997 (or 983 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 2106126 is about 1451.2498062015. The cubic root of 2106126 is about 128.1823166915.
It can be divided in two parts, 2106 and 126, that multiplied together give a triangular number (265356 = T728).
The spelling of 2106126 in words is "two million, one hundred six thousand, one hundred twenty-six".
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