Base | Representation |
---|---|
bin | 100110001001… |
… | …101001100110 |
3 | 200211002210100 |
4 | 212021221212 |
5 | 10030012443 |
6 | 554204530 |
7 | 151002300 |
oct | 46115146 |
9 | 20732710 |
10 | 10000998 |
11 | 5710997 |
12 | 3423746 |
13 | 20c2167 |
14 | 1484970 |
15 | d283d3 |
hex | 989a66 |
10000998 has 144 divisors (see below), whose sum is σ = 28810080. Its totient is φ = 2483712.
The previous prime is 10000993. The next prime is 10001009. The reversal of 10000998 is 89900001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10000993) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 344848 + ... + 344876.
It is an arithmetic number, because the mean of its divisors is an integer number (200070).
Almost surely, 210000998 is an apocalyptic number.
10000998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10000998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405040).
10000998 is an abundant number, since it is smaller than the sum of its proper divisors (18809082).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10000998 is a wasteful number, since it uses less digits than its factorization.
10000998 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 91 (or 81 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 27.
The square root of 10000998 is about 3162.4354538868. The cubic root of 10000998 is about 215.4506358508.
Adding to 10000998 its reverse (89900001), we get a palindrome (99900999).
The spelling of 10000998 in words is "ten million, nine hundred ninety-eight", and thus it is an aban number.
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