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13271085 = 325417193
BaseRepresentation
bin110010101000…
…000000101101
3220222020111200
4302220000231
511344133320
61152240113
7220542132
oct62500055
926866450
1013271085
117544843
124540039
132998719
141a96589
151272290
hexca802d

13271085 has 24 divisors (see below), whose sum is σ = 23567544. Its totient is φ = 6904320.

The previous prime is 13271081. The next prime is 13271117. The reversal of 13271085 is 58017231.

It can be written as a sum of positive squares in 4 ways, for example, as 675684 + 12595401 = 822^2 + 3549^2 .

It is not a de Polignac number, because 13271085 - 22 = 13271081 is a prime.

It is a super-2 number, since 2×132710852 = 352243394154450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13271081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1752 + ... + 5441.

It is an arithmetic number, because the mean of its divisors is an integer number (981981).

Almost surely, 213271085 is an apocalyptic number.

13271085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13271085 is a deficient number, since it is larger than the sum of its proper divisors (10296459).

13271085 is a wasteful number, since it uses less digits than its factorization.

13271085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13271085 is about 3642.9500408323. The cubic root of 13271085 is about 236.7566267366.

It can be divided in two parts, 132 and 71085, that added together give a palindrome (71217).

The spelling of 13271085 in words is "thirteen million, two hundred seventy-one thousand, eighty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 7193 21579 35965 64737 107895 294913 323685 884739 1474565 2654217 4423695 13271085