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9956 = 2219131
BaseRepresentation
bin10011011100100
3111122202
42123210
5304311
6114032
741012
oct23344
914582
109956
117531
125918
1346bb
1438b2
152e3b
hex26e4

9956 has 12 divisors (see below), whose sum is σ = 18480. Its totient is φ = 4680.

The previous prime is 9949. The next prime is 9967. The reversal of 9956 is 6599.

9956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

9956 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a plaindrome in base 8 and base 13.

It is a nialpdrome in base 11.

It is an unprimeable number.

9956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 11 + ... + 141.

It is an arithmetic number, because the mean of its divisors is an integer number (1540).

29956 is an apocalyptic number.

It is an amenable number.

9956 is a deficient number, since it is larger than the sum of its proper divisors (8524).

9956 is a wasteful number, since it uses less digits than its factorization.

9956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

The product of its digits is 2430, while the sum is 29.

The square root of 9956 is about 99.7797574661. The cubic root of 9956 is about 21.5127020670.

It can be divided in two parts, 995 and 6, that added together give a palindrome (1001).

The spelling of 9956 in words is "nine thousand, nine hundred fifty-six".

Divisors: 1 2 4 19 38 76 131 262 524 2489 4978 9956