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6929 = 13241
BaseRepresentation
bin1101100010001
3100111122
41230101
5210204
652025
726126
oct15421
910448
106929
11522a
124015
133200
14274d
1520be
hex1b11

6929 has 6 divisors (see below), whose sum is σ = 7686. Its totient is φ = 6240.

The previous prime is 6917. The next prime is 6947. The reversal of 6929 is 9296.

6929 = 22 + 32 + ... + 272.

6929 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 3 ways, for example, as 529 + 6400 = 23^2 + 80^2 .

It is not a de Polignac number, because 6929 - 28 = 6673 is a prime.

It is a super-2 number, since 2×69292 = 96022082, which contains 22 as substring.

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

It is a Duffinian number.

Its product of digits (972) is a multiple of the sum of its prime divisors (54).

It is a Curzon number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 6898 and 6907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6949) 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, 149 + ... + 189.

It is an arithmetic number, because the mean of its divisors is an integer number (1281).

26929 is an apocalyptic number.

It is an amenable number.

6929 is a deficient number, since it is larger than the sum of its proper divisors (757).

6929 is a wasteful number, since it uses less digits than its factorization.

6929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 54 counting only the distinct ones).

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

The square root of 6929 is about 83.2406150866. The cubic root of 6929 is about 19.0644166307.

Subtracting from 6929 its sum of digits (26), we obtain a triangular number (6903 = T117).

The spelling of 6929 in words is "six thousand, nine hundred twenty-nine".

Divisors: 1 13 41 169 533 6929