Search a number
-
+
27685640 = 235692141
BaseRepresentation
bin110100110011…
…1001100001000
31221002120120002
41221213030020
524041420030
62425222132
7454216103
oct151471410
957076502
1027685640
111469a6a4
129331948
135974748
14396973a
15266d245
hex1a67308

27685640 has 16 divisors (see below), whose sum is σ = 62292780. Its totient is φ = 11074240.

The previous prime is 27685627. The next prime is 27685649. The reversal of 27685640 is 4658672.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26152996 + 1532644 = 5114^2 + 1238^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27685594 and 27685603.

It is not an unprimeable number, because it can be changed into a prime (27685649) 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 3 ways as a sum of consecutive naturals, for example, 346031 + ... + 346110.

Almost surely, 227685640 is an apocalyptic number.

27685640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27685640 is an abundant number, since it is smaller than the sum of its proper divisors (34607140).

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

27685640 is a wasteful number, since it uses less digits than its factorization.

27685640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692152 (or 692148 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 27685640 is about 5261.7145494601. The cubic root of 27685640 is about 302.5182103192.

The spelling of 27685640 in words is "twenty-seven million, six hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 692141 1384282 2768564 3460705 5537128 6921410 13842820 27685640