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261585 = 3255813
BaseRepresentation
bin111111110111010001
3111021211100
4333313101
531332320
65335013
72136432
oct776721
9437740
10261585
11169595
12107469
13920ac
146b489
1552790
hex3fdd1

261585 has 12 divisors (see below), whose sum is σ = 453492. Its totient is φ = 139488.

The previous prime is 261581. The next prime is 261587. The reversal of 261585 is 585162.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 123201 = 372^2 + 351^2 .

It is not a de Polignac number, because 261585 - 22 = 261581 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 261585.

It is not an unprimeable number, because it can be changed into a prime (261581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2862 + ... + 2951.

It is an arithmetic number, because the mean of its divisors is an integer number (37791).

2261585 is an apocalyptic number.

It is an amenable number.

261585 is a deficient number, since it is larger than the sum of its proper divisors (191907).

261585 is a wasteful number, since it uses less digits than its factorization.

261585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5824 (or 5821 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 261585 is about 511.4538102312. The cubic root of 261585 is about 63.9544760896.

The spelling of 261585 in words is "two hundred sixty-one thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 45 5813 17439 29065 52317 87195 261585