Base | Representation |
---|---|
bin | 101001010100… |
… | …010001000000 |
3 | 202101021012220 |
4 | 221110101000 |
5 | 10233042122 |
6 | 1024051040 |
7 | 161030001 |
oct | 51242100 |
9 | 22337186 |
10 | 10830912 |
11 | 6128474 |
12 | 3763a80 |
13 | 2322b31 |
14 | 161d1a8 |
15 | e3e25c |
hex | a54440 |
10830912 has 56 divisors (see below), whose sum is σ = 30175200. Its totient is φ = 3419136.
The previous prime is 10830889. The next prime is 10830913. The reversal of 10830912 is 21903801.
It is a super-3 number, since 3×108309123 (a number of 22 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nialpdrome in base 16.
It is not an unprimeable number, because it can be changed into a prime (10830913) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2164 + ... + 5132.
Almost surely, 210830912 is an apocalyptic number.
10830912 is a gapful number since it is divisible by the number (12) 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 10830912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087600).
10830912 is an abundant number, since it is smaller than the sum of its proper divisors (19344288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10830912 is a wasteful number, since it uses less digits than its factorization.
10830912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3003 (or 2993 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 24.
The square root of 10830912 is about 3291.0350955285. The cubic root of 10830912 is about 221.2525793692.
The spelling of 10830912 in words is "ten million, eight hundred thirty thousand, nine hundred twelve".
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