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9936 = 243323
BaseRepresentation
bin10011011010000
3111122000
42123100
5304221
6114000
740653
oct23320
914560
109936
117513
125900
1346a4
14389a
152e26
hex26d0

9936 has 40 divisors (see below), whose sum is σ = 29760. Its totient is φ = 3168.

The previous prime is 9931. The next prime is 9941. The reversal of 9936 is 6399.

It can be divided in two parts, 993 and 6, that added together give a palindrome (999).

It is an interprime number because it is at equal distance from previous prime (9931) and next prime (9941).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (744).

29936 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 9936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14880).

9936 is an abundant number, since it is smaller than the sum of its proper divisors (19824).

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

9936 is a wasteful number, since it uses less digits than its factorization.

9936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 28 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 9936 is about 99.6794863550. The cubic root of 9936 is about 21.4982872261.

The spelling of 9936 in words is "nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936