Search a number
-
+
13833141 = 372139677
BaseRepresentation
bin110100110001…
…001110110101
3222000210111120
4310301032311
512020130031
61212254153
7225402600
oct64611665
928023446
1013833141
117899053
124771359
132b344ba
141ba1337
151333a96
hexd313b5

13833141 has 24 divisors (see below), whose sum is σ = 21641760. Its totient is φ = 7836192.

The previous prime is 13833139. The next prime is 13833179. The reversal of 13833141 is 14133831.

13833141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13833141 - 21 = 13833139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13833191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20095 + ... + 20771.

It is an arithmetic number, because the mean of its divisors is an integer number (901740).

Almost surely, 213833141 is an apocalyptic number.

It is an amenable number.

13833141 is a deficient number, since it is larger than the sum of its proper divisors (7808619).

13833141 is a wasteful number, since it uses less digits than its factorization.

13833141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 826 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 13833141 is about 3719.2930779921. The cubic root of 13833141 is about 240.0528876501.

Adding to 13833141 its reverse (14133831), we get a palindrome (27966972).

The spelling of 13833141 in words is "thirteen million, eight hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 3 7 21 49 139 147 417 677 973 2031 2919 4739 6811 14217 20433 33173 94103 99519 282309 658721 1976163 4611047 13833141