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27008019 = 3317292029
BaseRepresentation
bin110011100000…
…1110000010011
31212211011001000
41213001300103
523403224034
62402513043
7445364403
oct147016023
955734030
1027008019
1114277585
129065783
13579819c
143830803
152587599
hex19c1c13

27008019 has 32 divisors (see below), whose sum is σ = 43848000. Its totient is φ = 16353792.

The previous prime is 27007997. The next prime is 27008021. The reversal of 27008019 is 91080072.

It is not a de Polignac number, because 27008019 - 212 = 27003923 is a prime.

It is a super-2 number, since 2×270080192 = 1458866180608722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

27008019 is a modest number, since divided by 8019 gives 27 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 27007983 and 27008001.

It is not an unprimeable number, because it can be changed into a prime (27008089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12297 + ... + 14325.

It is an arithmetic number, because the mean of its divisors is an integer number (1370250).

Almost surely, 227008019 is an apocalyptic number.

27008019 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

27008019 is a deficient number, since it is larger than the sum of its proper divisors (16839981).

27008019 is a wasteful number, since it uses less digits than its factorization.

27008019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 27008019 is about 5196.9239940565. The cubic root of 27008019 is about 300.0296970602.

The spelling of 27008019 in words is "twenty-seven million, eight thousand, nineteen".

Divisors: 1 3 9 17 27 29 51 87 153 261 459 493 783 1479 2029 4437 6087 13311 18261 34493 54783 58841 103479 176523 310437 529569 931311 1000297 1588707 3000891 9002673 27008019