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10689 = 37509
BaseRepresentation
bin10100111000001
3112122220
42213001
5320224
6121253
743110
oct24701
915586
1010689
118038
126229
134b33
143c77
153279
hex29c1

10689 has 8 divisors (see below), whose sum is σ = 16320. Its totient is φ = 6096.

The previous prime is 10687. The next prime is 10691. The reversal of 10689 is 98601.

It is an interprime number because it is at equal distance from previous prime (10687) and next prime (10691).

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

It is not a de Polignac number, because 10689 - 21 = 10687 is a prime.

It is a super-2 number, since 2×106892 = 228509442, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (10687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (2040).

210689 is an apocalyptic number.

It is an amenable number.

10689 is a deficient number, since it is larger than the sum of its proper divisors (5631).

10689 is an equidigital number, since it uses as much as digits as its factorization.

10689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10689 is about 103.3876201486. The cubic root of 10689 is about 22.0282007500.

The spelling of 10689 in words is "ten thousand, six hundred eighty-nine".

Divisors: 1 3 7 21 509 1527 3563 10689