Search a number
-
+
27856720 = 245348209
BaseRepresentation
bin110101001000…
…0111101010000
31221102021020101
41222100331100
524112403340
62433022144
7455530633
oct152207520
957367211
1027856720
11147a7191
1293b4954
135a04588
1439b1c1a
1526a3c9a
hex1a90f50

27856720 has 20 divisors (see below), whose sum is σ = 64767060. Its totient is φ = 11142656.

The previous prime is 27856681. The next prime is 27856723. The reversal of 27856720 is 2765872.

It can be written as a sum of positive squares in 2 ways, for example, as 15968016 + 11888704 = 3996^2 + 3448^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 27856720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27856723) 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, 174025 + ... + 174184.

It is an arithmetic number, because the mean of its divisors is an integer number (3238353).

Almost surely, 227856720 is an apocalyptic number.

27856720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27856720 is an abundant number, since it is smaller than the sum of its proper divisors (36910340).

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

27856720 is a wasteful number, since it uses less digits than its factorization.

27856720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348222 (or 348216 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 27856720 is about 5277.9465704003. The cubic root of 27856720 is about 303.1400558646.

The spelling of 27856720 in words is "twenty-seven million, eight hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 348209 696418 1392836 1741045 2785672 3482090 5571344 6964180 13928360 27856720