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27130005 = 3357191511
BaseRepresentation
bin110011101111…
…1100010010101
31220001100101000
41213133202111
523421130010
62405253513
7446413140
oct147374225
956040330
1027130005
11143501a1
129104299
13580b876
143863057
1525ad7c0
hex19df895

27130005 has 64 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 11741760.

The previous prime is 27129983. The next prime is 27130007. The reversal of 27130005 is 50003172.

It is not a de Polignac number, because 27130005 - 29 = 27129493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27130005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27130007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17200 + ... + 18710.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 227130005 is an apocalyptic number.

It is an amenable number.

27130005 is an abundant number, since it is smaller than the sum of its proper divisors (30930795).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27130005 is a wasteful number, since it uses less digits than its factorization.

27130005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 27130005 is about 5208.6471372133. The cubic root of 27130005 is about 300.4807292531.

Adding to 27130005 its reverse (50003172), we get a palindrome (77133177).

It can be divided in two parts, 271 and 30005, that added together give a square (30276 = 1742).

The spelling of 27130005 in words is "twenty-seven million, one hundred thirty thousand, five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 189 285 315 399 513 665 855 945 1197 1511 1995 2565 3591 4533 5985 7555 10577 13599 17955 22665 28709 31731 40797 52885 67995 86127 95193 143545 158655 200963 203985 258381 285579 430635 475965 602889 775143 1004815 1291905 1427895 1808667 3014445 3875715 5426001 9043335 27130005