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6985 = 511127
BaseRepresentation
bin1101101001001
3100120201
41231021
5210420
652201
726236
oct15511
910521
106985
115280
124061
133244
14278d
15210a
hex1b49

6985 has 8 divisors (see below), whose sum is σ = 9216. Its totient is φ = 5040.

The previous prime is 6983. The next prime is 6991. The reversal of 6985 is 5896.

6985 = T30 + T31 + ... + T40.

6985 = 202 + 212 + ... + 302.

6985 = 93 + 103 + ... + 133.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 6985 - 21 = 6983 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

6985 is a lucky number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6983) 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 7 ways as a sum of consecutive naturals, for example, 9 + ... + 118.

It is an arithmetic number, because the mean of its divisors is an integer number (1152).

26985 is an apocalyptic number.

It is an amenable number.

6985 is a deficient number, since it is larger than the sum of its proper divisors (2231).

6985 is a wasteful number, since it uses less digits than its factorization.

6985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its digits is 2160, while the sum is 28.

The square root of 6985 is about 83.5763124336. The cubic root of 6985 is about 19.1156382621.

Subtracting from 6985 its reverse (5896), we obtain a square (1089 = 332).

It can be divided in two parts, 698 and 5, that added together give a triangular number (703 = T37).

The spelling of 6985 in words is "six thousand, nine hundred eighty-five".

Divisors: 1 5 11 55 127 635 1397 6985