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30073 = 172961
BaseRepresentation
bin111010101111001
31112020211
413111321
51430243
6351121
7153451
oct72571
945224
1030073
112065a
12154a1
13108c4
158d9d
hex7579

30073 has 8 divisors (see below), whose sum is σ = 33480. Its totient is φ = 26880.

The previous prime is 30071. The next prime is 30089. The reversal of 30073 is 37003.

It can be written as a sum of positive squares in 4 ways, for example, as 1849 + 28224 = 43^2 + 168^2 .

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 30073 - 21 = 30071 is a prime.

It is a Duffinian number.

30073 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (30071) 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, 463 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

230073 is an apocalyptic number.

It is an amenable number.

30073 is a deficient number, since it is larger than the sum of its proper divisors (3407).

30073 is a wasteful number, since it uses less digits than its factorization.

30073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107.

The product of its (nonzero) digits is 63, while the sum is 13.

The square root of 30073 is about 173.4156855651. The cubic root of 30073 is about 31.0975077527.

Adding to 30073 its reverse (37003), we get a palindrome (67076).

It can be divided in two parts, 300 and 73, that added together give a palindrome (373).

The spelling of 30073 in words is "thirty thousand, seventy-three".

Divisors: 1 17 29 61 493 1037 1769 30073