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BaseRepresentation
bin1010010000010011
32010121200
422100103
52321003
6522243
7233313
oct122023
963550
1042003
1129615
1220383
1316170
1411443
15c6a3
hexa413

42003 has 12 divisors (see below), whose sum is σ = 65520. Its totient is φ = 25776.

The previous prime is 41999. The next prime is 42013. The reversal of 42003 is 30024.

It is not a de Polignac number, because 42003 - 22 = 41999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

42003 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42003.

It is not an unprimeable number, because it can be changed into a prime (42013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

242003 is an apocalyptic number.

42003 is a deficient number, since it is larger than the sum of its proper divisors (23517).

42003 is a wasteful number, since it uses less digits than its factorization.

42003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 42003 is about 204.9463344390. The cubic root of 42003 is about 34.7610940546.

Adding to 42003 its reverse (30024), we get a palindrome (72027).

The spelling of 42003 in words is "forty-two thousand, three", and thus it is an iban number.

Divisors: 1 3 9 13 39 117 359 1077 3231 4667 14001 42003