Search a number
-
+
27683045 = 51321812
BaseRepresentation
bin110100110011…
…0100011100101
31221002102222222
41221212203211
524041324140
62425202125
7454205405
oct151464345
957072888
1027683045
1114698755
129330345
135973500
143968805
15266c5b5
hex1a668e5

27683045 has 18 divisors (see below), whose sum is σ = 36171414. Its totient is φ = 20329920.

The previous prime is 27683039. The next prime is 27683063. The reversal of 27683045 is 54038672.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 27646564 + 36481 = 5258^2 + 191^2 .

It is not a de Polignac number, because 27683045 - 220 = 26634469 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27682996 and 27683014.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 152855 + ... + 153035.

It is an arithmetic number, because the mean of its divisors is an integer number (2009523).

Almost surely, 227683045 is an apocalyptic number.

It is an amenable number.

27683045 is a deficient number, since it is larger than the sum of its proper divisors (8488369).

27683045 is an equidigital number, since it uses as much as digits as its factorization.

27683045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 27683045 is about 5261.4679510570. The cubic root of 27683045 is about 302.5087582556.

The spelling of 27683045 in words is "twenty-seven million, six hundred eighty-three thousand, forty-five".

Divisors: 1 5 13 65 169 181 845 905 2353 11765 30589 32761 152945 163805 425893 2129465 5536609 27683045