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6954 = 231961
BaseRepresentation
bin1101100101010
3100112120
41230222
5210304
652110
726163
oct15452
910476
106954
115252
124036
13321c
14276a
1520d9
hex1b2a

6954 has 16 divisors (see below), whose sum is σ = 14880. Its totient is φ = 2160.

The previous prime is 6949. The next prime is 6959. The reversal of 6954 is 4596.

6954 = T17 + T18 + ... + T35.

It is an interprime number because it is at equal distance from previous prime (6949) and next prime (6959).

6954 is an undulating number in base 11.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (6959) 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, 84 + ... + 144.

It is an arithmetic number, because the mean of its divisors is an integer number (930).

26954 is an apocalyptic number.

6954 is an abundant number, since it is smaller than the sum of its proper divisors (7926).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440).

6954 is a wasteful number, since it uses less digits than its factorization.

6954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85.

The product of its digits is 1080, while the sum is 24.

The square root of 6954 is about 83.3906469576. The cubic root of 6954 is about 19.0873174031.

The spelling of 6954 in words is "six thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 19 38 57 61 114 122 183 366 1159 2318 3477 6954