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27130167 = 332934649
BaseRepresentation
bin110011101111…
…1100100110111
31220001100121000
41213133210313
523421131132
62405254343
7446413461
oct147374467
956040530
1027130167
1114350329
1291043b3
13580b96c
143863131
1525ad87c
hex19df937

27130167 has 16 divisors (see below), whose sum is σ = 41580000. Its totient is φ = 17462592.

The previous prime is 27130163. The next prime is 27130183. The reversal of 27130167 is 76103172.

It is not a de Polignac number, because 27130167 - 22 = 27130163 is a prime.

It is a super-2 number, since 2×271301672 = 1472091922895778, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27130167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27130163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16542 + ... + 18107.

It is an arithmetic number, because the mean of its divisors is an integer number (2598750).

Almost surely, 227130167 is an apocalyptic number.

27130167 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

27130167 is a deficient number, since it is larger than the sum of its proper divisors (14449833).

27130167 is a wasteful number, since it uses less digits than its factorization.

27130167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34687 (or 34681 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 27130167 is about 5208.6626882531. The cubic root of 27130167 is about 300.4813273337.

The spelling of 27130167 in words is "twenty-seven million, one hundred thirty thousand, one hundred sixty-seven".

Divisors: 1 3 9 27 29 87 261 783 34649 103947 311841 935523 1004821 3014463 9043389 27130167