Base | Representation |
---|---|
bin | 100110000011… |
… | …101001000000 |
3 | 200202212000201 |
4 | 212003221000 |
5 | 10023221014 |
6 | 553454544 |
7 | 150540445 |
oct | 46035100 |
9 | 20685021 |
10 | 9976384 |
11 | 56a4450 |
12 | 3411454 |
13 | 20b3bb2 |
14 | 14799cc |
15 | d20e74 |
hex | 983a40 |
9976384 has 56 divisors (see below), whose sum is σ = 22238208. Its totient is φ = 4400640.
The previous prime is 9976381. The next prime is 9976409. The reversal of 9976384 is 4836799.
It is a plaindrome in base 14.
It is not an unprimeable number, because it can be changed into a prime (9976381) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25857 + ... + 26239.
Almost surely, 29976384 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 9976384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11119104).
9976384 is an abundant number, since it is smaller than the sum of its proper divisors (12261824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9976384 is a wasteful number, since it uses less digits than its factorization.
9976384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 443 (or 433 counting only the distinct ones).
The product of its digits is 326592, while the sum is 46.
The square root of 9976384 is about 3158.5414355363. The cubic root of 9976384 is about 215.2737382221.
It can be divided in two parts, 997 and 6384, that added together give a triangular number (7381 = T121).
The spelling of 9976384 in words is "nine million, nine hundred seventy-six thousand, three hundred eighty-four".
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