Search a number
-
+
2003085 = 32576359
BaseRepresentation
bin111101001000010001101
310202202201100
413221002031
51003044320
6110533313
723011620
oct7510215
93682640
102003085
111148a47
12807239
13551976
143a1db7
15298790
hex1e908d

2003085 has 24 divisors (see below), whose sum is σ = 3968640. Its totient is φ = 915552.

The previous prime is 2003083. The next prime is 2003087. The reversal of 2003085 is 5803002.

It is an interprime number because it is at equal distance from previous prime (2003083) and next prime (2003087).

It is not a de Polignac number, because 2003085 - 21 = 2003083 is a prime.

2003085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003081) 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, 2865 + ... + 3494.

It is an arithmetic number, because the mean of its divisors is an integer number (165360).

22003085 is an apocalyptic number.

It is an amenable number.

2003085 is a deficient number, since it is larger than the sum of its proper divisors (1965555).

2003085 is a wasteful number, since it uses less digits than its factorization.

2003085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6377 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2003085 is about 1415.3038543013. The cubic root of 2003085 is about 126.0568526504.

Adding to 2003085 its reverse (5803002), we get a palindrome (7806087).

The spelling of 2003085 in words is "two million, three thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 6359 19077 31795 44513 57231 95385 133539 222565 286155 400617 667695 2003085