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90093 = 359509
BaseRepresentation
bin10101111111101101
311120120210
4111333231
510340333
61533033
7523443
oct257755
9146523
1090093
1161763
1244179
1332013
1424b93
151ba63
hex15fed

90093 has 8 divisors (see below), whose sum is σ = 122400. Its totient is φ = 58928.

The previous prime is 90089. The next prime is 90107. The reversal of 90093 is 39009.

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 90093 - 22 = 90089 is a prime.

90093 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90093.

It is not an unprimeable number, because it can be changed into a prime (90023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

290093 is an apocalyptic number.

It is an amenable number.

90093 is a deficient number, since it is larger than the sum of its proper divisors (32307).

90093 is a wasteful number, since it uses less digits than its factorization.

90093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571.

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 90093 is about 300.1549599790. The cubic root of 90093 is about 44.8294781015.

The spelling of 90093 in words is "ninety thousand, ninety-three".

Divisors: 1 3 59 177 509 1527 30031 90093