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27680131 = 17219712
BaseRepresentation
bin110100110010…
…1110110000011
31221002022000001
41221211312003
524041231011
62425140431
7454164043
oct151456603
957068001
1027680131
1114696546
12932a717
13597209b
143967723
15266b7c1
hex1a65d83

27680131 has 18 divisors (see below), whose sum is σ = 31393820. Its totient is φ = 24333120.

The previous prime is 27680129. The next prime is 27680137. The reversal of 27680131 is 13108672.

It is not a de Polignac number, because 27680131 - 21 = 27680129 is a prime.

It is a super-2 number, since 2×276801312 = 1532379304354322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27680131.

It is not an unprimeable number, because it can be changed into a prime (27680137) 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 17 ways as a sum of consecutive naturals, for example, 389826 + ... + 389896.

Almost surely, 227680131 is an apocalyptic number.

27680131 is a deficient number, since it is larger than the sum of its proper divisors (3713689).

27680131 is an equidigital number, since it uses as much as digits as its factorization.

27680131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 27680131 is about 5261.1910248536. The cubic root of 27680131 is about 302.4981435580.

The spelling of 27680131 in words is "twenty-seven million, six hundred eighty thousand, one hundred thirty-one".

Divisors: 1 17 19 71 289 323 1207 1349 5041 5491 20519 22933 85697 95779 389861 1456849 1628243 27680131