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9126 = 233132

9126 has 24 divisors (see below), whose sum is σ = 21960. Its totient is φ = 2808.

The previous prime is 9109. The next prime is 9127. The reversal of 9126 is 6219.

9126 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 (18).

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

It is one of the 548 Lynch-Bell numbers.

Its product of digits (108) is a multiple of the sum of its prime divisors (18).

It is a Curzon number.

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 9099 and 9108.

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 9126.

It is not an unprimeable number, because it can be changed into a prime (9127) by changing a digit.

9126 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 11 ways as a sum of consecutive naturals, for example, 696 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (915).

29126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10980).

9126 is an abundant number, since it is smaller than the sum of its proper divisors (12834).

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

9126 is a wasteful number, since it uses less digits than its factorization.

9126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 18 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 9126 is about 95.5300999685. The cubic root of 9126 is about 20.8974593036.

The spelling of 9126 in words is "nine thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 4563 9126