Base | Representation |
---|---|
bin | 100111011011… |
… | …001100011000 |
3 | 201110001221210 |
4 | 213123030120 |
5 | 10121210000 |
6 | 1005303120 |
7 | 153563124 |
oct | 47331430 |
9 | 21401853 |
10 | 10335000 |
11 | 5919925 |
12 | 3564aa0 |
13 | 21ab1b0 |
14 | 1530584 |
15 | d92350 |
hex | 9db318 |
10335000 has 160 divisors (see below), whose sum is σ = 35426160. Its totient is φ = 2496000.
The previous prime is 10334977. The next prime is 10335001. The reversal of 10335000 is 53301.
It is a happy number.
10335000 is digitally balanced in base 2 and base 4, because in such bases 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 (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10335001) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194974 + ... + 195026.
Almost surely, 210335000 is an apocalyptic number.
10335000 is a gapful number since it is divisible by the number (10) 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 10335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713080).
10335000 is an abundant number, since it is smaller than the sum of its proper divisors (25091160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10335000 is a wasteful number, since it uses less digits than its factorization.
10335000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 95 (or 76 counting only the distinct ones).
The product of its (nonzero) digits is 45, while the sum is 12.
The square root of 10335000 is about 3214.8094811357. The cubic root of 10335000 is about 217.8228788846.
Adding to 10335000 its reverse (53301), we get a palindrome (10388301).
The spelling of 10335000 in words is "ten million, three hundred thirty-five thousand".
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