Search a number
-
+
6992 = 241923
BaseRepresentation
bin1101101010000
3100120222
41231100
5210432
652212
726246
oct15520
910528
106992
115287
124068
13324b
142796
152112
hex1b50

6992 has 20 divisors (see below), whose sum is σ = 14880. Its totient is φ = 3168.

The previous prime is 6991. The next prime is 6997. The reversal of 6992 is 2996.

6992 is nontrivially palindromic in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6992.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 293 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (744).

26992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440).

6992 is an abundant number, since it is smaller than the sum of its proper divisors (7888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6992 is a wasteful number, since it uses less digits than its factorization.

6992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 44 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 6992 is about 83.6181798415. The cubic root of 6992 is about 19.1220216929.

It can be divided in two parts, 69 and 92, that added together give a palindrome (161).

The spelling of 6992 in words is "six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 874 1748 3496 6992