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10693 = 17237
BaseRepresentation
bin10100111000101
3112200001
42213011
5320233
6121301
743114
oct24705
915601
1010693
118041
126231
134b37
143c7b
15327d
hex29c5

10693 has 6 divisors (see below), whose sum is σ = 11666. Its totient is φ = 9792.

The previous prime is 10691. The next prime is 10709. The reversal of 10693 is 39601.

It can be divided in two parts, 10 and 693, that added together give a triangular number (703 = T37).

10693 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6724 + 3969 = 82^2 + 63^2 .

It is not a de Polignac number, because 10693 - 21 = 10691 is a prime.

It is a super-2 number, since 2×106932 = 228680498, which contains 22 as substring.

It is a d-powerful number, because it can be written as 1 + 0 + 65 + 93 + 37 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10691) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 271 + ... + 307.

It is a 11-hyperperfect number.

210693 is an apocalyptic number.

It is an amenable number.

10693 is a deficient number, since it is larger than the sum of its proper divisors (973).

10693 is an equidigital number, since it uses as much as digits as its factorization.

10693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 10693 is about 103.4069630151. The cubic root of 10693 is about 22.0309481792.

The spelling of 10693 in words is "ten thousand, six hundred ninety-three".

Divisors: 1 17 37 289 629 10693