Search a number
-
+
27306981 = 32131713729
BaseRepresentation
bin110100000101…
…0101111100101
31220101100010200
41220022233211
523442310411
62413141113
7451051122
oct150125745
956340120
1027306981
1114461159
12918a799
1358712a0
1438ab749
1525e5e56
hex1a0abe5

27306981 has 24 divisors (see below), whose sum is σ = 44979480. Its totient is φ = 15814656.

The previous prime is 27306973. The next prime is 27307013. The reversal of 27306981 is 18960372.

It can be written as a sum of positive squares in 4 ways, for example, as 2056356 + 25250625 = 1434^2 + 5025^2 .

It is not a de Polignac number, because 27306981 - 23 = 27306973 is a prime.

It is a super-2 number, since 2×273069812 = 1491342422668722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27306931) 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 23 ways as a sum of consecutive naturals, for example, 4876 + ... + 8853.

It is an arithmetic number, because the mean of its divisors is an integer number (1874145).

Almost surely, 227306981 is an apocalyptic number.

It is an amenable number.

27306981 is a deficient number, since it is larger than the sum of its proper divisors (17672499).

27306981 is a wasteful number, since it uses less digits than its factorization.

27306981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13765 (or 13762 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 27306981 is about 5225.6081942679. The cubic root of 27306981 is about 301.1326847023.

The spelling of 27306981 in words is "twenty-seven million, three hundred six thousand, nine hundred eighty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 13729 41187 123561 178477 233393 535431 700179 1606293 2100537 3034109 9102327 27306981