Search a number
-
+
13161015 = 335719733
BaseRepresentation
bin110010001101…
…001000110111
3220202122112000
4302031020313
511332123030
61150030343
7216603210
oct62151067
926678460
1013161015
11747a07a
1244a83b3
13295a5aa
141a68407
15124e860
hexc8d237

13161015 has 64 divisors (see below), whose sum is σ = 28185600. Its totient is φ = 5692032.

The previous prime is 13160993. The next prime is 13161017. The reversal of 13161015 is 51016131.

13161015 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13161015 is a nontrivial binomial coefficient, being equal to C(5131, 2).

It is not a de Polignac number, because 13161015 - 27 = 13160887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13161017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17589 + ... + 18321.

It is an arithmetic number, because the mean of its divisors is an integer number (440400).

Almost surely, 213161015 is an apocalyptic number.

13161015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13161015 is the 5130-th triangular number.

13161015 is an abundant number, since it is smaller than the sum of its proper divisors (15024585).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13161015 is a wasteful number, since it uses less digits than its factorization.

13161015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 13161015 is about 3627.8113236496. The cubic root of 13161015 is about 236.1002578428.

Adding to 13161015 its reverse (51016131), we get a palindrome (64177146).

It can be divided in two parts, 13 and 161015, that added together give a triangular number (161028 = T567).

The spelling of 13161015 in words is "thirteen million, one hundred sixty-one thousand, fifteen".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 189 285 315 399 513 665 733 855 945 1197 1995 2199 2565 3591 3665 5131 5985 6597 10995 13927 15393 17955 19791 25655 32985 41781 46179 69635 76965 97489 98955 125343 138537 208905 230895 292467 376029 487445 626715 692685 877401 1462335 1880145 2632203 4387005 13161015