Base | Representation |
---|---|
bin | 100110000111… |
… | …111100001100 |
3 | 200210202012000 |
4 | 212013330030 |
5 | 10024301441 |
6 | 554112300 |
7 | 150643005 |
oct | 46077414 |
9 | 20722160 |
10 | 9993996 |
11 | 5706701 |
12 | 341b690 |
13 | 20bbc0c |
14 | 14821ac |
15 | d262b6 |
hex | 987f0c |
9993996 has 96 divisors (see below), whose sum is σ = 27706560. Its totient is φ = 3110400.
The previous prime is 9993989. The next prime is 9994001. The reversal of 9993996 is 6993999.
9993996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163806 + ... + 163866.
It is an arithmetic number, because the mean of its divisors is an integer number (288610).
Almost surely, 29993996 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 9993996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853280).
9993996 is an abundant number, since it is smaller than the sum of its proper divisors (17712564).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9993996 is a wasteful number, since it uses less digits than its factorization.
9993996 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 152 (or 144 counting only the distinct ones).
The product of its digits is 1062882, while the sum is 54.
The square root of 9993996 is about 3161.3282018797. The cubic root of 9993996 is about 215.4003429515.
It can be divided in two parts, 999 and 3996, that multiplied together give a square (3992004 = 19982).
The spelling of 9993996 in words is "nine million, nine hundred ninety-three thousand, nine hundred ninety-six".
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