Base | Representation |
---|---|
bin | 100111011011… |
… | …010011000000 |
3 | 201110002112111 |
4 | 213123103000 |
5 | 10121213144 |
6 | 1005305104 |
7 | 153564301 |
oct | 47332300 |
9 | 21402474 |
10 | 10335424 |
11 | 591a180 |
12 | 3565194 |
13 | 21ab448 |
14 | 15307a8 |
15 | d92534 |
hex | 9db4c0 |
10335424 has 56 divisors (see below), whose sum is σ = 22878288. Its totient is φ = 4592640.
The previous prime is 10335421. The next prime is 10335433. The reversal of 10335424 is 42453301.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 10335395 and 10335404.
It is not an unprimeable number, because it can be changed into a prime (10335421) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37174 + ... + 37450.
Almost surely, 210335424 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 10335424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11439144).
10335424 is an abundant number, since it is smaller than the sum of its proper divisors (12542864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10335424 is a wasteful number, since it uses less digits than its factorization.
10335424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 353 (or 343 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 22.
The square root of 10335424 is about 3214.8754252692. The cubic root of 10335424 is about 217.8258576183.
Adding to 10335424 its reverse (42453301), we get a palindrome (52788725).
The spelling of 10335424 in words is "ten million, three hundred thirty-five thousand, four hundred twenty-four".
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