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9996 = 2237217
BaseRepresentation
bin10011100001100
3111201020
42130030
5304441
6114140
741100
oct23414
914636
109996
117568
125950
13471c
143900
152e66
hex270c

9996 has 36 divisors (see below), whose sum is σ = 28728. Its totient is φ = 2688.

The previous prime is 9973. The next prime is 10007. The reversal of 9996 is 6999.

It is a nialpdrome in base 7 and base 10.

It is an unprimeable number.

9996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 580 + ... + 596.

It is an arithmetic number, because the mean of its divisors is an integer number (798).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364).

9996 is an abundant number, since it is smaller than the sum of its proper divisors (18732).

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

9996 is a wasteful number, since it uses less digits than its factorization.

9996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 29 counting only the distinct ones).

The product of its digits is 4374, while the sum is 33.

The square root of 9996 is about 99.9799979996. The cubic root of 9996 is about 21.5414739376.

The spelling of 9996 in words is "nine thousand, nine hundred ninety-six".