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103983 = 31123137
BaseRepresentation
bin11001011000101111
312021122020
4121120233
511311413
62121223
7612105
oct313057
9167566
10103983
1171140
1250213
1338439
1429c75
1520c23
hex1962f

103983 has 16 divisors (see below), whose sum is σ = 158976. Its totient is φ = 59840.

The previous prime is 103981. The next prime is 103991. The reversal of 103983 is 389301.

It is not a de Polignac number, because 103983 - 21 = 103981 is a prime.

103983 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103981) 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, 691 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (9936).

2103983 is an apocalyptic number.

103983 is a deficient number, since it is larger than the sum of its proper divisors (54993).

103983 is a wasteful number, since it uses less digits than its factorization.

103983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 103983 is about 322.4639514736. The cubic root of 103983 is about 47.0241312629.

It can be divided in two parts, 10398 and 3, that added together give a palindrome (10401).

The spelling of 103983 in words is "one hundred three thousand, nine hundred eighty-three".

Divisors: 1 3 11 23 33 69 137 253 411 759 1507 3151 4521 9453 34661 103983