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13260085 = 517732137
BaseRepresentation
bin110010100101…
…010100110101
3220221200102021
4302211110311
511343310320
61152113141
7220465066
oct62452465
926850367
1013260085
117537553
1245357b1
132993707
141a9256d
15126ddaa
hexca5535

13260085 has 16 divisors (see below), whose sum is σ = 17086896. Its totient is φ = 9842688.

The previous prime is 13260083. The next prime is 13260089. The reversal of 13260085 is 58006231.

It is a happy number.

13260085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 400689 + 12859396 = 633^2 + 3586^2 .

It is a cyclic number.

It is not a de Polignac number, because 13260085 - 21 = 13260083 is a prime.

It is a super-3 number, since 3×132600853 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13260083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5137 + ... + 7273.

It is an arithmetic number, because the mean of its divisors is an integer number (1067931).

Almost surely, 213260085 is an apocalyptic number.

It is an amenable number.

13260085 is a deficient number, since it is larger than the sum of its proper divisors (3826811).

13260085 is a wasteful number, since it uses less digits than its factorization.

13260085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 13260085 is about 3641.4399624324. The cubic root of 13260085 is about 236.6911951919.

The spelling of 13260085 in words is "thirteen million, two hundred sixty thousand, eighty-five".

Divisors: 1 5 17 73 85 365 1241 2137 6205 10685 36329 156001 181645 780005 2652017 13260085