Base | Representation |
---|---|
bin | 10110111010000101101100 |
3 | 102022002110010 |
4 | 112322011230 |
5 | 3014130400 |
6 | 332413220 |
7 | 102020403 |
oct | 26720554 |
9 | 12262403 |
10 | 6005100 |
11 | 34317a2 |
12 | 2017210 |
13 | 132341a |
14 | b2463a |
15 | 7d9450 |
hex | 5ba16c |
6005100 has 72 divisors (see below), whose sum is σ = 17877328. Its totient is φ = 1555200.
The previous prime is 6005039. The next prime is 6005101. The reversal of 6005100 is 15006.
It is a super-2 number, since 2×60051002 = 72122452020000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (6005101) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10830 + ... + 11370.
Almost surely, 26005100 is an apocalyptic number.
6005100 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 6005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8938664).
6005100 is an abundant number, since it is smaller than the sum of its proper divisors (11872228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6005100 is a wasteful number, since it uses less digits than its factorization.
6005100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 595 (or 588 counting only the distinct ones).
The product of its (nonzero) digits is 30, while the sum is 12.
The square root of 6005100 is about 2450.5305547983. The cubic root of 6005100 is about 181.7635297861.
It can be divided in two parts, 6005 and 100, that added together give a triangular number (6105 = T110).
The spelling of 6005100 in words is "six million, five thousand, one hundred".
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