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11706 = 231951
BaseRepresentation
bin10110110111010
3121001120
42312322
5333311
6130110
746062
oct26672
917046
1011706
118882
126936
135436
1443a2
153706
hex2dba

11706 has 8 divisors (see below), whose sum is σ = 23424. Its totient is φ = 3900.

The previous prime is 11701. The next prime is 11717. The reversal of 11706 is 60711.

Subtracting from 11706 its product of nonzero digits (42), we obtain a square (11664 = 1082).

It can be divided in two parts, 1170 and 6, that added together give a triangular number (1176 = T48).

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

11706 is an admirable number.

It is a nialpdrome in base 5 and base 11.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (11701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 970 + ... + 981.

It is an arithmetic number, because the mean of its divisors is an integer number (2928).

211706 is an apocalyptic number.

11706 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (11712).

11706 is a wasteful number, since it uses less digits than its factorization.

11706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 11706 is about 108.1942697189. The cubic root of 11706 is about 22.7057668077.

The spelling of 11706 in words is "eleven thousand, seven hundred six".

Divisors: 1 2 3 6 1951 3902 5853 11706