Search a number
-
+
2000305 = 517101233
BaseRepresentation
bin111101000010110110001
310202121220101
413220112301
51003002210
6110512401
723000536
oct7502661
93677811
102000305
11114694a
12805701
13550618
143a0d8d
15297a3a
hex1e85b1

2000305 has 16 divisors (see below), whose sum is σ = 2577744. Its totient is φ = 1484800.

The previous prime is 2000303. The next prime is 2000309. The reversal of 2000305 is 5030002.

It can be written as a sum of positive squares in 8 ways, for example, as 87616 + 1912689 = 296^2 + 1383^2 .

It is not a de Polignac number, because 2000305 - 21 = 2000303 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000291 and 2000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000303) 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, 8469 + ... + 8701.

It is an arithmetic number, because the mean of its divisors is an integer number (161109).

22000305 is an apocalyptic number.

It is an amenable number.

2000305 is a deficient number, since it is larger than the sum of its proper divisors (577439).

2000305 is a wasteful number, since it uses less digits than its factorization.

2000305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356.

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 2000305 is about 1414.3213920464. The cubic root of 2000305 is about 125.9985092626.

Adding to 2000305 its reverse (5030002), we get a palindrome (7030307).

The spelling of 2000305 in words is "two million, three hundred five", and thus it is an aban number.

Divisors: 1 5 17 85 101 233 505 1165 1717 3961 8585 19805 23533 117665 400061 2000305