Base | Representation |
---|---|
bin | 100110001000… |
… | …101011001000 |
3 | 200210220022021 |
4 | 212020223020 |
5 | 10024401000 |
6 | 554134224 |
7 | 150654526 |
oct | 46105310 |
9 | 20726267 |
10 | 9997000 |
11 | 5708992 |
12 | 3421374 |
13 | 20c03b0 |
14 | 1483316 |
15 | d2711a |
hex | 988ac8 |
9997000 has 64 divisors (see below), whose sum is σ = 25225200. Its totient is φ = 3686400.
The previous prime is 9996991. The next prime is 9997007. The reversal of 9997000 is 7999.
It can be written as a sum of positive squares in 8 ways, for example, as 49284 + 9947716 = 222^2 + 3154^2 .
It is a nialpdrome in base 10.
It is not an unprimeable number, because it can be changed into a prime (9997007) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12616 + ... + 13384.
Almost surely, 29997000 is an apocalyptic number.
9997000 is the 2000-th heptagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12612600).
9997000 is an abundant number, since it is smaller than the sum of its proper divisors (15228200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9997000 is a wasteful number, since it uses less digits than its factorization.
9997000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 803 (or 789 counting only the distinct ones).
The product of its (nonzero) digits is 5103, while the sum is 34.
The square root of 9997000 is about 3161.8032829384. The cubic root of 9997000 is about 215.4219225015.
The spelling of 9997000 in words is "nine million, nine hundred ninety-seven thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.082 sec. • engine limits •