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9690 = 2351719
BaseRepresentation
bin10010111011010
3111021220
42113122
5302230
6112510
740152
oct22732
914256
109690
11730a
125736
134545
143762
152d10
hex25da

9690 has 32 divisors (see below), whose sum is σ = 25920. Its totient is φ = 2304.

The previous prime is 9689. The next prime is 9697. The reversal of 9690 is 969.

9690 = 422 + 432 + ... + 462.

9690 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×96902 = 187792200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

9690 is an undulating number in base 13.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 9690.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (810).

29690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960).

9690 is an abundant number, since it is smaller than the sum of its proper divisors (16230).

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

9690 is a wasteful number, since it uses less digits than its factorization.

9690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46.

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 9690 is about 98.4377976186. The cubic root of 9690 is about 21.3193810680.

The spelling of 9690 in words is "nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1615 1938 3230 4845 9690