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103683 = 31719107
BaseRepresentation
bin11001010100000011
312021020010
4121110003
511304213
62120003
7611166
oct312403
9167203
10103683
1170998
1250003
1338268
1429add
1520ac3
hex19503

103683 has 16 divisors (see below), whose sum is σ = 155520. Its totient is φ = 61056.

The previous prime is 103681. The next prime is 103687. The reversal of 103683 is 386301.

It is a Cunningham number, because it is equal to 3222-1.

It is not a de Polignac number, because 103683 - 21 = 103681 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103681) 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 15 ways as a sum of consecutive naturals, for example, 916 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

103683 is a Friedman number, since it can be written as 80*6^(3+1)+3, using all its digits and the basic arithmetic operations.

2103683 is an apocalyptic number.

103683 is a deficient number, since it is larger than the sum of its proper divisors (51837).

103683 is a wasteful number, since it uses less digits than its factorization.

103683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 103683 is about 321.9984472012. The cubic root of 103683 is about 46.9788647993.

Adding to 103683 its reverse (386301), we get a palindrome (489984).

The spelling of 103683 in words is "one hundred three thousand, six hundred eighty-three".

Divisors: 1 3 17 19 51 57 107 321 323 969 1819 2033 5457 6099 34561 103683