Base | Representation |
---|---|
bin | 100101110110… |
… | …101000100000 |
3 | 200200010221101 |
4 | 211312220200 |
5 | 10020014404 |
6 | 552404144 |
7 | 150226222 |
oct | 45665040 |
9 | 20603841 |
10 | 9923104 |
11 | 5668414 |
12 | 33a6654 |
13 | 2095879 |
14 | 1464412 |
15 | d102a4 |
hex | 976a20 |
9923104 has 72 divisors (see below), whose sum is σ = 22048740. Its totient is φ = 4386816.
The previous prime is 9923101. The next prime is 9923113. The reversal of 9923104 is 4013299.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 9314704 + 608400 = 3052^2 + 780^2 .
It is not an unprimeable number, because it can be changed into a prime (9923101) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268174 + ... + 268210.
Almost surely, 29923104 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 9923104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11024370).
9923104 is an abundant number, since it is smaller than the sum of its proper divisors (12125636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9923104 is a wasteful number, since it uses less digits than its factorization.
9923104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 110 (or 85 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 28.
The square root of 9923104 is about 3150.0958715569. The cubic root of 9923104 is about 214.8898227631.
It can be divided in two parts, 992 and 3104, that added together give a 12-th power (4096 = 212).
The spelling of 9923104 in words is "nine million, nine hundred twenty-three thousand, one hundred four".
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