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103938 = 23171019
BaseRepresentation
bin11001011000000010
312021120120
4121120002
511311223
62121110
7612012
oct313002
9167516
10103938
11710aa
1250196
1338403
1429c42
1520be3
hex19602

103938 has 16 divisors (see below), whose sum is σ = 220320. Its totient is φ = 32576.

The previous prime is 103919. The next prime is 103951. The reversal of 103938 is 839301.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (13770).

2103938 is an apocalyptic number.

103938 is an abundant number, since it is smaller than the sum of its proper divisors (116382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103938 is a wasteful number, since it uses less digits than its factorization.

103938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041.

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

The square root of 103938 is about 322.3941686818. The cubic root of 103938 is about 47.0173468487.

It can be divided in two parts, 10393 and 8, that added together give a palindrome (10401).

The spelling of 103938 in words is "one hundred three thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 17 34 51 102 1019 2038 3057 6114 17323 34646 51969 103938