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90309 = 330103
BaseRepresentation
bin10110000011000101
311120212210
4112003011
510342214
61534033
7524202
oct260305
9146783
1090309
116193a
1244319
133214b
1424ca9
151bb59
hex160c5

90309 has 4 divisors (see below), whose sum is σ = 120416. Its totient is φ = 60204.

The previous prime is 90289. The next prime is 90313.

90309 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 90309 - 28 = 90053 is a prime.

It is a D-number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90359) 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 3 ways as a sum of consecutive naturals, for example, 15049 + ... + 15054.

It is an arithmetic number, because the mean of its divisors is an integer number (30104).

290309 is an apocalyptic number.

It is an amenable number.

90309 is a deficient number, since it is larger than the sum of its proper divisors (30107).

90309 is a wasteful number, since it uses less digits than its factorization.

90309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30106.

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

The square root of 90309 is about 300.5145587155. The cubic root of 90309 is about 44.8652760696.

The spelling of 90309 in words is "ninety thousand, three hundred nine".

Divisors: 1 3 30103 90309