Base | Representation |
---|---|
bin | 10111000101100010100000 |
3 | 102101110210011 |
4 | 113011202200 |
5 | 3022131000 |
6 | 333414304 |
7 | 102304213 |
oct | 27054240 |
9 | 12343704 |
10 | 6052000 |
11 | 3463a59 |
12 | 203a394 |
13 | 133b886 |
14 | b3777a |
15 | 7e82ba |
hex | 5c58a0 |
6052000 has 96 divisors (see below), whose sum is σ = 15921360. Its totient is φ = 2252800.
The previous prime is 6051977. The next prime is 6052003. The reversal of 6052000 is 2506.
It can be written as a sum of positive squares in 8 ways, for example, as 156816 + 5895184 = 396^2 + 2428^2 .
It is not an unprimeable number, because it can be changed into a prime (6052003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67956 + ... + 68044.
Almost surely, 26052000 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 6052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960680).
6052000 is an abundant number, since it is smaller than the sum of its proper divisors (9869360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6052000 is a wasteful number, since it uses less digits than its factorization.
6052000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 131 (or 113 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 13.
The square root of 6052000 is about 2460.0812994696. The cubic root of 6052000 is about 182.2354959815.
Adding to 6052000 its reverse (2506), we get a palindrome (6054506).
It can be divided in two parts, 605 and 2000, that multiplied together give a square (1210000 = 11002).
The spelling of 6052000 in words is "six million, fifty-two thousand", and thus it is an eban number.
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