Search a number
-
+
27774090 = 2345172017
BaseRepresentation
bin110100111110…
…0110010001010
31221021001220000
41221330302022
524102232330
62431143430
7455035011
oct151746212
957231800
1027774090
11147500a3
129374b76
1359a5a96
14398da78
152689560
hex1a7cc8a

27774090 has 80 divisors (see below), whose sum is σ = 79113672. Its totient is φ = 6967296.

The previous prime is 27774079. The next prime is 27774119. The reversal of 27774090 is 9047772.

It can be written as a sum of positive squares in 4 ways, for example, as 27342441 + 431649 = 5229^2 + 657^2 .

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 12762 + ... + 14778.

Almost surely, 227774090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27774090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39556836).

27774090 is an abundant number, since it is smaller than the sum of its proper divisors (51339582).

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

27774090 is a wasteful number, since it uses less digits than its factorization.

27774090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 27774090 is about 5270.1129020164. The cubic root of 27774090 is about 302.8400292717.

The spelling of 27774090 in words is "twenty-seven million, seven hundred seventy-four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2017 2295 2754 4034 4590 6051 6885 10085 12102 13770 18153 20170 30255 34289 36306 54459 60510 68578 90765 102867 108918 163377 171445 181530 205734 272295 308601 326754 342890 514335 544590 617202 816885 925803 1028670 1543005 1633770 1851606 2777409 3086010 4629015 5554818 9258030 13887045 27774090