Search a number
-
+
27760806 = 2352392
BaseRepresentation
bin110100111100…
…1100010100110
31221020101200000
41221321202212
524101321211
62431002130
7454651203
oct151714246
957211600
1027760806
1114741117
129369346
13599ca18
143988caa
152685656
hex1a798a6

27760806 has 36 divisors (see below), whose sum is σ = 62638212. Its totient is φ = 9214884.

The previous prime is 27760783. The next prime is 27760807. The reversal of 27760806 is 60806772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27760807) 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, 116035 + ... + 116273.

Almost surely, 227760806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27760806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31319106).

27760806 is an abundant number, since it is smaller than the sum of its proper divisors (34877406).

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

27760806 is an frugal number, since it uses more digits than its factorization.

27760806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 27760806 is about 5268.8524367266. The cubic root of 27760806 is about 302.7917400389.

The spelling of 27760806 in words is "twenty-seven million, seven hundred sixty thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 239 243 478 486 717 1434 2151 4302 6453 12906 19359 38718 57121 58077 114242 116154 171363 342726 514089 1028178 1542267 3084534 4626801 9253602 13880403 27760806