Base | Representation |
---|---|
bin | 100110000101… |
… | …011111001010 |
3 | 200210020101210 |
4 | 212011133022 |
5 | 10023441241 |
6 | 553553550 |
7 | 150601500 |
oct | 46053712 |
9 | 20706353 |
10 | 9983946 |
11 | 56aa0a5 |
12 | 34158b6 |
13 | 20b747b |
14 | 147c670 |
15 | d23316 |
hex | 9857ca |
9983946 has 48 divisors (see below), whose sum is σ = 24049440. Its totient is φ = 2751840.
The previous prime is 9983929. The next prime is 9983959. The reversal of 9983946 is 6493899.
It is a happy number.
9983946 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.
9983946 is strictly pandigital in base 8.
It is a junction number, because it is equal to n+sod(n) for n = 9983895 and 9983904.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7941 + ... + 9111.
It is an arithmetic number, because the mean of its divisors is an integer number (501030).
Almost surely, 29983946 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9983946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12024720).
9983946 is an abundant number, since it is smaller than the sum of its proper divisors (14065494).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9983946 is a wasteful number, since it uses less digits than its factorization.
9983946 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1219 (or 1212 counting only the distinct ones).
The product of its digits is 419904, while the sum is 48.
The square root of 9983946 is about 3159.7382803011. The cubic root of 9983946 is about 215.3281162703.
The spelling of 9983946 in words is "nine million, nine hundred eighty-three thousand, nine hundred forty-six".
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