Search a number
-
+
2713285 = 517137233
BaseRepresentation
bin1010010110011011000101
312002211221001
422112123011
51143311120
6134053301
732030311
oct12263305
95084831
102713285
111593593
12aaa231
1373ccc3
14508b41
15388e0a
hex2966c5

2713285 has 16 divisors (see below), whose sum is σ = 3487536. Its totient is φ = 2019328.

The previous prime is 2713283. The next prime is 2713289. The reversal of 2713285 is 5823172.

2713285 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2713285 is a nontrivial binomial coefficient, being equal to C(2330, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 3969 + 2709316 = 63^2 + 1646^2 .

It is not a de Polignac number, because 2713285 - 21 = 2713283 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2713283) 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, 11529 + ... + 11761.

It is an arithmetic number, because the mean of its divisors is an integer number (217971).

22713285 is an apocalyptic number.

2713285 is the 2329-th triangular number and also the 1165-th hexagonal number.

2713285 is the 777-th centered nonagonal number.

It is an amenable number.

2713285 is a deficient number, since it is larger than the sum of its proper divisors (774251).

2713285 is a wasteful number, since it uses less digits than its factorization.

2713285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392.

The product of its digits is 3360, while the sum is 28.

The square root of 2713285 is about 1647.2052088310. The cubic root of 2713285 is about 139.4756748137.

The spelling of 2713285 in words is "two million, seven hundred thirteen thousand, two hundred eighty-five".

Divisors: 1 5 17 85 137 233 685 1165 2329 3961 11645 19805 31921 159605 542657 2713285