Base | Representation |
---|---|
bin | 1000000001000101101000 |
3 | 10221202212100 |
4 | 20001011220 |
5 | 1014222413 |
6 | 113013400 |
7 | 23602065 |
oct | 10010550 |
9 | 3852770 |
10 | 2101608 |
11 | 1205a73 |
12 | 854260 |
13 | 587772 |
14 | 3c9c6c |
15 | 2b7a73 |
hex | 201168 |
2101608 has 72 divisors (see below), whose sum is σ = 6106230. Its totient is φ = 652800.
The previous prime is 2101607. The next prime is 2101613. The reversal of 2101608 is 8061012.
It can be written as a sum of positive squares in 3 ways, for example, as 2022084 + 79524 = 1422^2 + 282^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (2101607) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20758 + ... + 20858.
22101608 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2101608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053115).
2101608 is an abundant number, since it is smaller than the sum of its proper divisors (4004622).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2101608 is a wasteful number, since it uses less digits than its factorization.
2101608 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 147 (or 123 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 2101608 is about 1449.6923811623. The cubic root of 2101608 is about 128.0905934185.
The spelling of 2101608 in words is "two million, one hundred one thousand, six hundred eight".
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