Search a number
30687 = 353193
BaseRepresentation
bin111011111011111
31120002120
413133133
51440222
6354023
7155316
oct73737
946076
1030687
1121068
1215913
1310c77
14b27d
15915c
hex77df

30687 has 8 divisors (see below), whose sum is σ = 41904. Its totient is φ = 19968.

The previous prime is 30677. The next prime is 30689. The reversal of 30687 is 78603.

30687 is nontrivially palindromic in base 8.

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

It is not a de Polignac number, because 30687 - 24 = 30671 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

30687 is an undulating number in base 8.

30687 is a lucky number.

It is a plaindrome in base 16.

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 30687.

It is not an unprimeable number, because it can be changed into a prime (30689) 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, 63 + ... + 255.

It is an arithmetic number, because the mean of its divisors is an integer number (5238).

230687 is an apocalyptic number.

30687 is a deficient number, since it is larger than the sum of its proper divisors (11217).

30687 is a wasteful number, since it uses less digits than its factorization.

30687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 30687 is about 175.1770532918. The cubic root of 30687 is about 31.3077226468.

It can be divided in two parts, 306 and 87, that added together give a palindrome (393).

The spelling of 30687 in words is "thirty thousand, six hundred eighty-seven".

Divisors: 1 3 53 159 193 579 10229 30687