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9912 = 233759
BaseRepresentation
bin10011010111000
3111121010
42122320
5304122
6113520
740620
oct23270
914533
109912
1174a1
1258a0
134686
143880
152e0c
hex26b8

9912 has 32 divisors (see below), whose sum is σ = 28800. Its totient is φ = 2784.

The previous prime is 9907. The next prime is 9923. The reversal of 9912 is 2199.

It is a happy number.

9912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 139 + ... + 197.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

29912 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 9912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400).

9912 is an abundant number, since it is smaller than the sum of its proper divisors (18888).

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

9912 is a wasteful number, since it uses less digits than its factorization.

9912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 71 counting only the distinct ones).

The product of its digits is 162, while the sum is 21.

The square root of 9912 is about 99.5590277172. The cubic root of 9912 is about 21.4809638606.

It can be divided in two parts, 99 and 12, that added together give a palindrome (111).

The spelling of 9912 in words is "nine thousand, nine hundred twelve".