Base | Representation |
---|---|
bin | 11110001101001101000 |
3 | 1212021202021 |
4 | 3301221220 |
5 | 223133200 |
6 | 33114224 |
7 | 11261500 |
oct | 3615150 |
9 | 1767667 |
10 | 989800 |
11 | 616719 |
12 | 3b8974 |
13 | 2886a6 |
14 | 1baa00 |
15 | 14841a |
hex | f1a68 |
989800 has 72 divisors (see below), whose sum is σ = 2703510. Its totient is φ = 336000.
The previous prime is 989797. The next prime is 989803. The reversal of 989800 is 8989.
989800 = T176 + T177 + ... + T224.
989800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (989797) and next prime (989803).
It can be written as a sum of positive squares in 3 ways, for example, as 933156 + 56644 = 966^2 + 238^2 .
It is not an unprimeable number, because it can be changed into a prime (989803) 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, 9750 + ... + 9850.
2989800 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 989800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351755).
989800 is an abundant number, since it is smaller than the sum of its proper divisors (1713710).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
989800 is a wasteful number, since it uses less digits than its factorization.
989800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 131 (or 115 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 34.
The square root of 989800 is about 994.8869282486. The cubic root of 989800 is about 99.6588374045.
It can be divided in two parts, 98 and 9800, that multiplied together give a square (960400 = 9802).
The spelling of 989800 in words is "nine hundred eighty-nine thousand, eight hundred".
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