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6984 = 233297
BaseRepresentation
bin1101101001000
3100120200
41231020
5210414
652200
726235
oct15510
910520
106984
11527a
124060
133243
14278c
152109
hex1b48

6984 has 24 divisors (see below), whose sum is σ = 19110. Its totient is φ = 2304.

The previous prime is 6983. The next prime is 6991. The reversal of 6984 is 4896.

It can be written as a sum of positive squares in only one way, i.e., 6084 + 900 = 78^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 14.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24 + ... + 120.

26984 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 6984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555).

6984 is an abundant number, since it is smaller than the sum of its proper divisors (12126).

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

6984 is a wasteful number, since it uses less digits than its factorization.

6984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 102 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 6984 is about 83.5703296631. The cubic root of 6984 is about 19.1147259953.

It can be divided in two parts, 69 and 84, that added together give a triangular number (153 = T17).

The spelling of 6984 in words is "six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984