Base | Representation |
---|---|
bin | 10111011011010010010000 |
3 | 102112222222010 |
4 | 113123102100 |
5 | 3033003242 |
6 | 335342520 |
7 | 103125000 |
oct | 27332220 |
9 | 12488863 |
10 | 6141072 |
11 | 3514973 |
12 | 2081a40 |
13 | 1370292 |
14 | b5c000 |
15 | 81489c |
hex | 5db490 |
6141072 has 80 divisors (see below), whose sum is σ = 18550400. Its totient is φ = 1749888.
The previous prime is 6141071. The next prime is 6141077. The reversal of 6141072 is 2701416.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is an alternating number because its digits alternate between even and odd.
It is not an unprimeable number, because it can be changed into a prime (6141071) 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 15 ways as a sum of consecutive naturals, for example, 16278 + ... + 16650.
It is an arithmetic number, because the mean of its divisors is an integer number (231880).
Almost surely, 26141072 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 6141072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9275200).
6141072 is an abundant number, since it is smaller than the sum of its proper divisors (12409328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6141072 is a wasteful number, since it uses less digits than its factorization.
6141072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 405 (or 385 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 21.
The square root of 6141072 is about 2478.1186412277. The cubic root of 6141072 is about 183.1251793651.
Adding to 6141072 its reverse (2701416), we get a palindrome (8842488).
The spelling of 6141072 in words is "six million, one hundred forty-one thousand, seventy-two".
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