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10683 = 321187
BaseRepresentation
bin10100110111011
3112122200
42212323
5320213
6121243
743101
oct24673
915580
1010683
118032
126223
134b2a
143c71
153273
hex29bb

10683 has 6 divisors (see below), whose sum is σ = 15444. Its totient is φ = 7116.

The previous prime is 10667. The next prime is 10687. The reversal of 10683 is 38601.

Added to its reverse (38601) it gives a square (49284 = 2222).

It is not a de Polignac number, because 10683 - 24 = 10667 is a prime.

It is a super-2 number, since 2×106832 = 228252978, which contains 22 as substring.

10683 is a lucky number.

It is a plaindrome in base 16.

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 5 ways as a sum of consecutive naturals, for example, 585 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (2574).

10683 is a deficient number, since it is larger than the sum of its proper divisors (4761).

10683 is a wasteful number, since it uses less digits than its factorization.

10683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10683 is about 103.3585990617. The cubic root of 10683 is about 22.0240783206.

Adding to 10683 its sum of digits (18), we get a palindrome (10701).

Adding to 10683 its reverse (38601), we get a square (49284 = 2222).

The spelling of 10683 in words is "ten thousand, six hundred eighty-three".

Divisors: 1 3 9 1187 3561 10683