Search a number
-
+
6993 = 33737
BaseRepresentation
bin1101101010001
3100121000
41231101
5210433
652213
726250
oct15521
910530
106993
115288
124069
13324c
142797
152113
hex1b51

6993 has 16 divisors (see below), whose sum is σ = 12160. Its totient is φ = 3888.

The previous prime is 6991. The next prime is 6997. The reversal of 6993 is 3996.

It can be divided in two parts, 6 and 993, that added together give a palindrome (999).

It is not a de Polignac number, because 6993 - 21 = 6991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (760).

26993 is an apocalyptic number.

6993 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

6993 is a deficient number, since it is larger than the sum of its proper divisors (5167).

6993 is a wasteful number, since it uses less digits than its factorization.

6993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 47 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 6993 is about 83.6241591886. The cubic root of 6993 is about 19.1229332638.

The spelling of 6993 in words is "six thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 2331 6993