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13305061 = 711672579
BaseRepresentation
bin110010110000…
…010011100101
3221000222010001
4302300103211
511401230221
61153101301
7221043160
oct62602345
927028101
1013305061
117568320
124557831
1329ab023
141aa4ad7
15127c391
hexcb04e5

13305061 has 16 divisors (see below), whose sum is σ = 16842240. Its totient is φ = 10208880.

The previous prime is 13305041. The next prime is 13305077. The reversal of 13305061 is 16050331.

13305061 is a nontrivial binomial coefficient, being equal to C(5159, 2).

It is not a de Polignac number, because 13305061 - 213 = 13296869 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 (13305001) 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, 3870 + ... + 6448.

It is an arithmetic number, because the mean of its divisors is an integer number (1052640).

Almost surely, 213305061 is an apocalyptic number.

13305061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13305061 is the 5158-th triangular number.

13305061 is the 1720-th centered nonagonal number.

It is an amenable number.

13305061 is a deficient number, since it is larger than the sum of its proper divisors (3537179).

13305061 is a wasteful number, since it uses less digits than its factorization.

13305061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 13305061 is about 3647.6103136163. The cubic root of 13305061 is about 236.9584989080.

Adding to 13305061 its reverse (16050331), we get a palindrome (29355392).

The spelling of 13305061 in words is "thirteen million, three hundred five thousand, sixty-one".

Divisors: 1 7 11 67 77 469 737 2579 5159 18053 28369 172793 198583 1209551 1900723 13305061