Base | Representation |
---|---|
bin | 10110111001000000010100 |
3 | 102021212100200 |
4 | 112321000110 |
5 | 3014010120 |
6 | 332340500 |
7 | 102001431 |
oct | 26710024 |
9 | 12255320 |
10 | 6000660 |
11 | 3429426 |
12 | 2014730 |
13 | 13213b3 |
14 | b22b88 |
15 | 7d7e90 |
hex | 5b9014 |
6000660 has 144 divisors (see below), whose sum is σ = 20167056. Its totient is φ = 1437696.
The previous prime is 6000653. The next prime is 6000679. The reversal of 6000660 is 660006.
6000660 = 802 + 812 + ... + 2642.
6000660 is a `hidden beast` number, since 6 + 0 + 0 + 0 + 660 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 992016 + 5008644 = 996^2 + 2238^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
6000660 is a modest number, since divided by 660 gives 600 as remainder.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113194 + ... + 113246.
It is an arithmetic number, because the mean of its divisors is an integer number (140049).
Almost surely, 26000660 is an apocalyptic number.
6000660 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 6000660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083528).
6000660 is an abundant number, since it is smaller than the sum of its proper divisors (14166396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6000660 is a wasteful number, since it uses less digits than its factorization.
6000660 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 122 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 6000660 is about 2449.6244610144. The cubic root of 6000660 is about 181.7187218144.
Adding to 6000660 its reverse (660006), we get a palindrome (6660666).
The spelling of 6000660 in words is "six million, six hundred sixty", and thus it is an aban number.
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