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27312009 = 3431931097
BaseRepresentation
bin110100000101…
…1111110001001
31220101121000220
41220023332021
523442441014
62413220253
7451101564
oct150137611
956347026
1027312009
1114464a0a
129191689
13587366a
1438ad4db
1525e76a9
hex1a0bf89

27312009 has 16 divisors (see below), whose sum is σ = 37490112. Its totient is φ = 17676288.

The previous prime is 27312007. The next prime is 27312011. The reversal of 27312009 is 90021372.

It is an interprime number because it is at equal distance from previous prime (27312007) and next prime (27312011).

It is not a de Polignac number, because 27312009 - 21 = 27312007 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27312009.

It is not an unprimeable number, because it can be changed into a prime (27312007) 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 15 ways as a sum of consecutive naturals, for example, 24349 + ... + 25445.

It is an arithmetic number, because the mean of its divisors is an integer number (2343132).

Almost surely, 227312009 is an apocalyptic number.

It is an amenable number.

27312009 is a deficient number, since it is larger than the sum of its proper divisors (10178103).

27312009 is a wasteful number, since it uses less digits than its factorization.

27312009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 27312009 is about 5226.0892644500. The cubic root of 27312009 is about 301.1511659620.

The spelling of 27312009 in words is "twenty-seven million, three hundred twelve thousand, nine".

Divisors: 1 3 43 129 193 579 1097 3291 8299 24897 47171 141513 211721 635163 9104003 27312009