Search a number
-
+
13206141 = 3213412753
BaseRepresentation
bin110010011000…
…001001111101
3220211221102100
4302120021331
511340044031
61151015313
7220151604
oct62301175
926757370
1013206141
1174aaa73
12450a539
132974cb0
141a7aa3b
15125cde6
hexc9827d

13206141 has 24 divisors (see below), whose sum is σ = 21051576. Its totient is φ = 7925760.

The previous prime is 13206131. The next prime is 13206173. The reversal of 13206141 is 14160231.

It is a happy number.

13206141 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 396900 + 12809241 = 630^2 + 3579^2 .

It is not a de Polignac number, because 13206141 - 210 = 13205117 is a prime.

It is a super-2 number, since 2×132061412 = 348804320223762, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13206131) 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, 3421 + ... + 6173.

It is an arithmetic number, because the mean of its divisors is an integer number (877149).

Almost surely, 213206141 is an apocalyptic number.

It is an amenable number.

13206141 is a deficient number, since it is larger than the sum of its proper divisors (7845435).

13206141 is a wasteful number, since it uses less digits than its factorization.

13206141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13206141 is about 3634.0254539560. The cubic root of 13206141 is about 236.3697939538.

Adding to 13206141 its reverse (14160231), we get a palindrome (27366372).

The spelling of 13206141 in words is "thirteen million, two hundred six thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 2753 4797 8259 24777 35789 107367 112873 322101 338619 1015857 1467349 4402047 13206141