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103933 = 37532
BaseRepresentation
bin11001010111111101
312021120101
4121113331
511311213
62121101
7612004
oct312775
9167511
10103933
11710a5
1250191
13383cb
1429c3b
1520bdd
hex195fd

103933 has 6 divisors (see below), whose sum is σ = 108794. Its totient is φ = 99216.

The previous prime is 103919. The next prime is 103951. The reversal of 103933 is 339301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 58564 + 45369 = 242^2 + 213^2 .

It is not a de Polignac number, because 103933 - 29 = 103421 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1935 + ... + 1987.

2103933 is an apocalyptic number.

It is an amenable number.

103933 is a deficient number, since it is larger than the sum of its proper divisors (4861).

103933 is an frugal number, since it uses more digits than its factorization.

103933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 103933 is about 322.3864141058. The cubic root of 103933 is about 47.0165929040.

The spelling of 103933 in words is "one hundred three thousand, nine hundred thirty-three".

Divisors: 1 37 53 1961 2809 103933