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13082085 = 325674339
BaseRepresentation
bin110001111001…
…110111100101
3220121122020200
4301321313211
511322111320
61144221113
7216124122
oct61716745
926548220
1013082085
117425845
12446a799
1329306a3
141a47749
151236290
hexc79de5

13082085 has 24 divisors (see below), whose sum is σ = 23019360. Its totient is φ = 6871392.

The previous prime is 13082081. The next prime is 13082107. The reversal of 13082085 is 58028031.

It is a happy number.

It is not a de Polignac number, because 13082085 - 22 = 13082081 is a prime.

It is a super-2 number, since 2×130820852 = 342281895894450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13082081) 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, 846 + ... + 5184.

It is an arithmetic number, because the mean of its divisors is an integer number (959140).

Almost surely, 213082085 is an apocalyptic number.

13082085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13082085 is a deficient number, since it is larger than the sum of its proper divisors (9937275).

13082085 is a wasteful number, since it uses less digits than its factorization.

13082085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 13082085 is about 3616.9165044275. The cubic root of 13082085 is about 235.6273264434.

It can be divided in two parts, 130 and 82085, that added together give a triangular number (82215 = T405).

The spelling of 13082085 in words is "thirteen million, eighty-two thousand, eighty-five".

Divisors: 1 3 5 9 15 45 67 201 335 603 1005 3015 4339 13017 21695 39051 65085 195255 290713 872139 1453565 2616417 4360695 13082085