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90693 = 333359
BaseRepresentation
bin10110001001000101
311121102000
4112021011
510400233
61535513
7525261
oct261105
9147360
1090693
1162159
1244599
1332385
14250a1
151bd13
hex16245

90693 has 8 divisors (see below), whose sum is σ = 134400. Its totient is φ = 60444.

The previous prime is 90679. The next prime is 90697. The reversal of 90693 is 39609.

It is not a de Polignac number, because 90693 - 24 = 90677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3359 = 90693 / (9 + 0 + 6 + 9 + 3).

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90697) by changing a digit.

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, 1653 + ... + 1706.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

290693 is an apocalyptic number.

It is an amenable number.

90693 is a deficient number, since it is larger than the sum of its proper divisors (43707).

90693 is a wasteful number, since it uses less digits than its factorization.

90693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 90693 is about 301.1527851440. The cubic root of 90693 is about 44.9287762189.

It can be divided in two parts, 906 and 93, that added together give a palindrome (999).

The spelling of 90693 in words is "ninety thousand, six hundred ninety-three".

Divisors: 1 3 9 27 3359 10077 30231 90693