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266085 = 36573
BaseRepresentation
bin1000000111101100101
3111112000000
41000331211
532003320
65411513
72155521
oct1007545
9445000
10266085
11171a06
12109b99
1394161
146cd81
1553c90
hex40f65

266085 has 28 divisors (see below), whose sum is σ = 485292. Its totient is φ = 139968.

The previous prime is 266083. The next prime is 266089. The reversal of 266085 is 580662.

266085 is a nontrivial binomial coefficient, being equal to C(730, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 123201 + 142884 = 351^2 + 378^2 .

It is not a de Polignac number, because 266085 - 21 = 266083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

266085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266081) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3609 + ... + 3681.

2266085 is an apocalyptic number.

266085 is the 729-th triangular number and also the 365-th hexagonal number.

It is an amenable number.

266085 is a deficient number, since it is larger than the sum of its proper divisors (219207).

266085 is an frugal number, since it uses more digits than its factorization.

266085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 266085 is about 515.8342757127. The cubic root of 266085 is about 64.3191254893.

The spelling of 266085 in words is "two hundred sixty-six thousand, eighty-five".

Divisors: 1 3 5 9 15 27 45 73 81 135 219 243 365 405 657 729 1095 1215 1971 3285 3645 5913 9855 17739 29565 53217 88695 266085