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13086541 = 132414177
BaseRepresentation
bin110001111010…
…111101001101
3220121212100201
4301322331031
511322232131
61144253501
7216143116
oct61727515
926555321
1013086541
117429126
124471291
132932720
141a4920d
151237761
hexc7af4d

13086541 has 8 divisors (see below), whose sum is σ = 14155064. Its totient is φ = 12026880.

The previous prime is 13086533. The next prime is 13086553. The reversal of 13086541 is 14568031.

It can be written as a sum of positive squares in 4 ways, for example, as 3960100 + 9126441 = 1990^2 + 3021^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(13086541) divides (13086541-1)5.

It is a cyclic number.

It is not a de Polignac number, because 13086541 - 23 = 13086533 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 (13086571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1045 + ... + 5221.

It is an arithmetic number, because the mean of its divisors is an integer number (1769383).

Almost surely, 213086541 is an apocalyptic number.

It is an amenable number.

13086541 is a deficient number, since it is larger than the sum of its proper divisors (1068523).

13086541 is a wasteful number, since it uses less digits than its factorization.

13086541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 13086541 is about 3617.5324462954. The cubic root of 13086541 is about 235.6540764142.

The spelling of 13086541 in words is "thirteen million, eighty-six thousand, five hundred forty-one".

Divisors: 1 13 241 3133 4177 54301 1006657 13086541