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11956 = 227261
BaseRepresentation
bin10111010110100
3121101211
42322310
5340311
6131204
746600
oct27264
917354
1011956
118a8a
126b04
135599
144500
153821
hex2eb4

11956 has 18 divisors (see below), whose sum is σ = 24738. Its totient is φ = 5040.

The previous prime is 11953. The next prime is 11959. The reversal of 11956 is 65911.

It is an interprime number because it is at equal distance from previous prime (11953) and next prime (11959).

It can be written as a sum of positive squares in only one way, i.e., 7056 + 4900 = 84^2 + 70^2 .

11956 is an undulating number in base 11.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11953) 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, 166 + ... + 226.

211956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369).

11956 is an abundant number, since it is smaller than the sum of its proper divisors (12782).

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

11956 is a wasteful number, since it uses less digits than its factorization.

11956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 70 counting only the distinct ones).

The product of its digits is 270, while the sum is 22.

The square root of 11956 is about 109.3434954627. The cubic root of 11956 is about 22.8662686774.

The spelling of 11956 in words is "eleven thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1708 2989 5978 11956