Search a number
-
+
6983141 = 1117107349
BaseRepresentation
bin11010101000110111100101
3111010210001212
4122220313211
53241430031
6405401205
7113233004
oct32506745
914123055
106983141
113a3a5a0
122409205
1315a6649
14cdac3b
1592e12b
hex6a8de5

6983141 has 16 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 5902080.

The previous prime is 6983129. The next prime is 6983143. The reversal of 6983141 is 1413896.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 6983141 - 26 = 6983077 is a prime.

It is an Ulam number.

It is a Duffinian number.

6983141 is a modest number, since divided by 3141 gives 698 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6983098 and 6983107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6983143) 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 15 ways as a sum of consecutive naturals, for example, 19835 + ... + 20183.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 26983141 is an apocalyptic number.

It is an amenable number.

6983141 is a deficient number, since it is larger than the sum of its proper divisors (1181659).

6983141 is a wasteful number, since it uses less digits than its factorization.

6983141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484.

The product of its digits is 5184, while the sum is 32.

The square root of 6983141 is about 2642.5633388814. The cubic root of 6983141 is about 191.1394228858.

The spelling of 6983141 in words is "six million, nine hundred eighty-three thousand, one hundred forty-one".

Divisors: 1 11 17 107 187 349 1177 1819 3839 5933 20009 37343 65263 410773 634831 6983141