Search a number
-
+
2585105 = 51721789
BaseRepresentation
bin1001110111001000010001
311212100002122
421313020101
51130210410
6131224025
730654515
oct11671021
94770078
102585105
111506256
12a48015
136c6863
144b4145
15360e55
hex277211

2585105 has 12 divisors (see below), whose sum is σ = 3297180. Its totient is φ = 1945344.

The previous prime is 2585081. The next prime is 2585111. The reversal of 2585105 is 5015852.

It can be written as a sum of positive squares in 6 ways, for example, as 591361 + 1993744 = 769^2 + 1412^2 .

It is not a de Polignac number, because 2585105 - 26 = 2585041 is a prime.

It is a super-2 number, since 2×25851052 = 13365535722050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551 + ... + 2339.

It is an arithmetic number, because the mean of its divisors is an integer number (274765).

22585105 is an apocalyptic number.

It is an amenable number.

2585105 is a deficient number, since it is larger than the sum of its proper divisors (712075).

2585105 is a wasteful number, since it uses less digits than its factorization.

2585105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 2585105 is about 1607.8261721965. The cubic root of 2585105 is about 137.2437984022.

The spelling of 2585105 in words is "two million, five hundred eighty-five thousand, one hundred five".

Divisors: 1 5 17 85 289 1445 1789 8945 30413 152065 517021 2585105