Base | Representation |
---|---|
bin | 100111011001… |
… | …010100000000 |
3 | 201102200101110 |
4 | 213121110000 |
5 | 10120433141 |
6 | 1005203320 |
7 | 153531510 |
oct | 47312400 |
9 | 21380343 |
10 | 10327296 |
11 | 5914061 |
12 | 3560540 |
13 | 21a7835 |
14 | 152b840 |
15 | d8ee16 |
hex | 9d9500 |
10327296 has 144 divisors (see below), whose sum is σ = 33554304. Its totient is φ = 2752512.
The previous prime is 10327249. The next prime is 10327297. The reversal of 10327296 is 69272301.
It is an alternating number because its digits alternate between odd and even.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10327297) 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, 91336 + ... + 91448.
It is an arithmetic number, because the mean of its divisors is an integer number (233016).
Almost surely, 210327296 is an apocalyptic number.
10327296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10327296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777152).
10327296 is an abundant number, since it is smaller than the sum of its proper divisors (23227008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10327296 is a wasteful number, since it uses less digits than its factorization.
10327296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 156 (or 142 counting only the distinct ones).
The product of its (nonzero) digits is 4536, while the sum is 30.
The square root of 10327296 is about 3213.6110530056. The cubic root of 10327296 is about 217.7687416616.
Adding to 10327296 its reverse (69272301), we get a palindrome (79599597).
The spelling of 10327296 in words is "ten million, three hundred twenty-seven thousand, two hundred ninety-six".
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