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9680 = 245112
BaseRepresentation
bin10010111010000
3111021112
42113100
5302210
6112452
740136
oct22720
914245
109680
117300
125728
134538
143756
152d05
hex25d0

9680 has 30 divisors (see below), whose sum is σ = 24738. Its totient is φ = 3520.

The previous prime is 9679. The next prime is 9689. The reversal of 9680 is 869.

It can be written as a sum of positive squares in only one way, i.e., 7744 + 1936 = 88^2 + 44^2 .

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9689) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 875 + ... + 885.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369).

9680 is an abundant number, since it is smaller than the sum of its proper divisors (15058).

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

9680 is a wasteful number, since it uses less digits than its factorization.

9680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 18 counting only the distinct ones).

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

The square root of 9680 is about 98.3869910100. The cubic root of 9680 is about 21.3120447353.

The spelling of 9680 in words is "nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680