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9860 = 2251729

9860 has 24 divisors (see below), whose sum is σ = 22680. Its totient is φ = 3584.

The previous prime is 9859. The next prime is 9871. The reversal of 9860 is 689.

9860 = T5 + T6 + ... + T38.

It can be written as a sum of positive squares in 4 ways, for example, as 2116 + 7744 = 46^2 + 88^2 .

9860 is an undulating number in base 12 and base 13.

It is a nialpdrome in base 10.

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 9860.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326 + ... + 354.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

29860 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 9860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340).

9860 is an abundant number, since it is smaller than the sum of its proper divisors (12820).

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

9860 is a wasteful number, since it uses less digits than its factorization.

9860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 9860 is about 99.2975326985. The cubic root of 9860 is about 21.4433337431.

The spelling of 9860 in words is "nine thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860