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9926 = 27709
BaseRepresentation
bin10011011000110
3111121122
42123012
5304201
6113542
740640
oct23306
914548
109926
117504
1258b2
134697
143890
152e1b
hex26c6

9926 has 8 divisors (see below), whose sum is σ = 17040. Its totient is φ = 4248.

The previous prime is 9923. The next prime is 9929. The reversal of 9926 is 6299.

9926 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9923) and next prime (9929).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9895 and 9904.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9926.

It is not an unprimeable number, because it can be changed into a prime (9923) by changing a digit.

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, 341 + ... + 368.

It is an arithmetic number, because the mean of its divisors is an integer number (2130).

29926 is an apocalyptic number.

9926 is a deficient number, since it is larger than the sum of its proper divisors (7114).

9926 is a wasteful number, since it uses less digits than its factorization.

9926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718.

The product of its digits is 972, while the sum is 26.

The square root of 9926 is about 99.6293129556. The cubic root of 9926 is about 21.4910725510.

It can be divided in two parts, 99 and 26, that added together give a cube (125 = 53).

The spelling of 9926 in words is "nine thousand, nine hundred twenty-six".

Divisors: 1 2 7 14 709 1418 4963 9926