Base | Representation |
---|---|
bin | 11000100000001100000100 |
3 | 110002100010000 |
4 | 120200030010 |
5 | 3121021200 |
6 | 345401300 |
7 | 105411552 |
oct | 30401404 |
9 | 13070100 |
10 | 6423300 |
11 | 3697a14 |
12 | 2199230 |
13 | 143b890 |
14 | bd2bd2 |
15 | 86d300 |
hex | 620304 |
6423300 has 180 divisors, whose sum is σ = 22791076. Its totient is φ = 1555200.
The previous prime is 6423289. The next prime is 6423301. The reversal of 6423300 is 33246.
It can be written as a sum of positive squares in 6 ways, for example, as 2286144 + 4137156 = 1512^2 + 2034^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6423301) by changing a digit.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105270 + ... + 105330.
Almost surely, 26423300 is an apocalyptic number.
6423300 is a gapful number since it is divisible by the number (60) 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 6423300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11395538).
6423300 is an abundant number, since it is smaller than the sum of its proper divisors (16367776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6423300 is a wasteful number, since it uses less digits than its factorization.
6423300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 100 (or 84 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 6423300 is about 2534.4230112592. The cubic root of 6423300 is about 185.8885909305. Note that the first 3 decimals are identical.
Adding to 6423300 its reverse (33246), we get a palindrome (6456546).
The spelling of 6423300 in words is "six million, four hundred twenty-three thousand, three hundred".
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