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6956 = 223747
BaseRepresentation
bin1101100101100
3100112122
41230230
5210311
652112
726165
oct15454
910478
106956
115254
124038
133221
14276c
1520db
hex1b2c

6956 has 12 divisors (see below), whose sum is σ = 12768. Its totient is φ = 3312.

The previous prime is 6949. The next prime is 6959. The reversal of 6956 is 6596.

It is a nialpdrome in base 13.

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 3 ways as a sum of consecutive naturals, for example, 125 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (1064).

26956 is an apocalyptic number.

It is an amenable number.

6956 is a deficient number, since it is larger than the sum of its proper divisors (5812).

6956 is a wasteful number, since it uses less digits than its factorization.

6956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 86 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 6956 is about 83.4026378480. The cubic root of 6956 is about 19.0891470922.

It can be divided in two parts, 69 and 56, that added together give a cube (125 = 53).

The spelling of 6956 in words is "six thousand, nine hundred fifty-six".

Divisors: 1 2 4 37 47 74 94 148 188 1739 3478 6956