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27138111 = 37211131291
BaseRepresentation
bin110011110000…
…1100000111111
31220001202111020
41213201200333
523421404421
62405355223
7446445600
oct147414077
956052436
1027138111
11143562a0
129108b13
135812470
143865da7
1525b0dc6
hex19e183f

27138111 has 48 divisors (see below), whose sum is σ = 49488768. Its totient is φ = 13003200.

The previous prime is 27138109. The next prime is 27138119. The reversal of 27138111 is 11183172.

It is a happy number.

It is not a de Polignac number, because 27138111 - 21 = 27138109 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27138119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20376 + ... + 21666.

It is an arithmetic number, because the mean of its divisors is an integer number (1031016).

Almost surely, 227138111 is an apocalyptic number.

27138111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

27138111 is a deficient number, since it is larger than the sum of its proper divisors (22350657).

27138111 is a wasteful number, since it uses less digits than its factorization.

27138111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1325 counting only the distinct ones).

The product of its digits is 336, while the sum is 24.

The square root of 27138111 is about 5209.4252082164. The cubic root of 27138111 is about 300.5106525091.

The spelling of 27138111 in words is "twenty-seven million, one hundred thirty-eight thousand, one hundred eleven".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1291 1617 1911 3003 3873 7007 9037 14201 16783 21021 27111 42603 50349 63259 99407 117481 184613 189777 298221 352443 553839 695849 822367 1292291 2087547 2467101 3876873 9046037 27138111