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109983 = 361601
BaseRepresentation
bin11010110110011111
312120212110
4122312133
512004413
62205103
7635436
oct326637
9176773
10109983
11756a5
1253793
133b0a3
142c11d
15228c3
hex1ad9f

109983 has 8 divisors (see below), whose sum is σ = 149296. Its totient is φ = 72000.

The previous prime is 109961. The next prime is 109987. The reversal of 109983 is 389901.

It is a happy number.

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

It is not a de Polignac number, because 109983 - 26 = 109919 is a prime.

It is a Duffinian number.

109983 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 109983.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109983.

It is not an unprimeable number, because it can be changed into a prime (109987) 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, 118 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (18662).

2109983 is an apocalyptic number.

109983 is a deficient number, since it is larger than the sum of its proper divisors (39313).

109983 is an equidigital number, since it uses as much as digits as its factorization.

109983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 109983 is about 331.6368495810. The cubic root of 109983 is about 47.9117301363.

The spelling of 109983 in words is "one hundred nine thousand, nine hundred eighty-three".

Divisors: 1 3 61 183 601 1803 36661 109983