Base | Representation |
---|---|
bin | 100110001011… |
… | …101000001100 |
3 | 200211111220102 |
4 | 212023220030 |
5 | 10030242400 |
6 | 554310232 |
7 | 151035023 |
oct | 46135014 |
9 | 20744812 |
10 | 10009100 |
11 | 5716a92 |
12 | 3428378 |
13 | 20c5a5a |
14 | 14878ba |
15 | d2a9d5 |
hex | 98ba0c |
10009100 has 36 divisors (see below), whose sum is σ = 21956928. Its totient is φ = 3960000.
The previous prime is 10009093. The next prime is 10009133. The reversal of 10009100 is 190001.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9605 + ... + 10595.
Almost surely, 210009100 is an apocalyptic number.
10009100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10009100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10978464).
10009100 is an abundant number, since it is smaller than the sum of its proper divisors (11947828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10009100 is a wasteful number, since it uses less digits than its factorization.
10009100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1106 (or 1099 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 11.
The square root of 10009100 is about 3163.7161693173. The cubic root of 10009100 is about 215.5088003756.
Adding to 10009100 its reverse (190001), we get a palindrome (10199101).
The spelling of 10009100 in words is "ten million, nine thousand, one hundred".
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