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40083 = 331431
BaseRepresentation
bin1001110010010011
32000222120
421302103
52240313
6505323
7224601
oct116223
960876
1040083
112812a
121b243
1315324
1410871
15bd23
hex9c93

40083 has 8 divisors (see below), whose sum is σ = 55296. Its totient is φ = 25800.

The previous prime is 40063. The next prime is 40087. The reversal of 40083 is 38004.

40083 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 40083 - 28 = 39827 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

40083 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (40087) 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, 123 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (6912).

240083 is an apocalyptic number.

40083 is a deficient number, since it is larger than the sum of its proper divisors (15213).

40083 is a wasteful number, since it uses less digits than its factorization.

40083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40083 is about 200.2073924709. The cubic root of 40083 is about 34.2231572585.

Adding to 40083 its reverse (38004), we get a palindrome (78087).

The spelling of 40083 in words is "forty thousand, eighty-three".

Divisors: 1 3 31 93 431 1293 13361 40083