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104065 = 5131601
BaseRepresentation
bin11001011010000001
312021202021
4121122001
511312230
62121441
7612253
oct313201
9167667
10104065
1171205
1250281
13384a0
1429cd3
1520c7a
hex19681

104065 has 8 divisors (see below), whose sum is σ = 134568. Its totient is φ = 76800.

The previous prime is 104059. The next prime is 104087. The reversal of 104065 is 560401.

It can be written as a sum of positive squares in 4 ways, for example, as 23409 + 80656 = 153^2 + 284^2 .

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

It is not a de Polignac number, because 104065 - 25 = 104033 is a prime.

It is a Duffinian number.

104065 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 104065.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 736 + ... + 865.

It is an arithmetic number, because the mean of its divisors is an integer number (16821).

2104065 is an apocalyptic number.

It is an amenable number.

104065 is a deficient number, since it is larger than the sum of its proper divisors (30503).

104065 is a wasteful number, since it uses less digits than its factorization.

104065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 104065 is about 322.5910724121. The cubic root of 104065 is about 47.0364889419.

Adding to 104065 its reverse (560401), we get a palindrome (664466).

It can be divided in two parts, 1040 and 65, that multiplied together give a square (67600 = 2602).

The spelling of 104065 in words is "one hundred four thousand, sixty-five".

Divisors: 1 5 13 65 1601 8005 20813 104065