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80093 = 1361101
BaseRepresentation
bin10011100011011101
311001212102
4103203131
510030333
61414445
7452336
oct234335
9131772
1080093
11551a2
123a425
132a5c0
142128d
1518ae8
hex138dd

80093 has 8 divisors (see below), whose sum is σ = 88536. Its totient is φ = 72000.

The previous prime is 80077. The next prime is 80107. The reversal of 80093 is 39008.

It can be written as a sum of positive squares in 4 ways, for example, as 2809 + 77284 = 53^2 + 278^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 80093 - 24 = 80077 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83093) 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, 743 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (11067).

280093 is an apocalyptic number.

It is an amenable number.

80093 is a deficient number, since it is larger than the sum of its proper divisors (8443).

80093 is a wasteful number, since it uses less digits than its factorization.

80093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 80093 is about 283.0070670496. The cubic root of 80093 is about 43.1053842036.

The spelling of 80093 in words is "eighty thousand, ninety-three".

Divisors: 1 13 61 101 793 1313 6161 80093