Search a number
-
+
27045816 = 23371937229
BaseRepresentation
bin110011100101…
…0111110111000
31212220001212220
41213022332320
523410431231
62403404040
7445612530
oct147127670
955801786
1027045816
11142a2a16
129083620
1357ac455
1438404c0
152593896
hex19cafb8

27045816 has 128 divisors (see below), whose sum is σ = 83904000. Its totient is φ = 7091712.

The previous prime is 27045787. The next prime is 27045829. The reversal of 27045816 is 61854072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117990 + ... + 118218.

It is an arithmetic number, because the mean of its divisors is an integer number (655500).

Almost surely, 227045816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27045816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41952000).

27045816 is an abundant number, since it is smaller than the sum of its proper divisors (56858184).

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

27045816 is a wasteful number, since it uses less digits than its factorization.

27045816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 27045816 is about 5200.5592007014. The cubic root of 27045816 is about 300.1695929982.

Adding to 27045816 its reverse (61854072), we get a palindrome (88899888).

The spelling of 27045816 in words is "twenty-seven million, forty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 37 38 42 56 57 74 76 84 111 114 133 148 152 168 222 228 229 259 266 296 399 444 456 458 518 532 687 703 777 798 888 916 1036 1064 1374 1406 1554 1596 1603 1832 2072 2109 2748 2812 3108 3192 3206 4218 4351 4809 4921 5496 5624 6216 6412 8436 8473 8702 9618 9842 12824 13053 14763 16872 16946 17404 19236 19684 25419 26106 29526 30457 33892 34808 38472 39368 50838 52212 59052 59311 60914 67784 91371 101676 104424 118104 118622 121828 160987 177933 182742 203352 237244 243656 321974 355866 365484 474488 482961 643948 711732 730968 965922 1126909 1287896 1423464 1931844 2253818 3380727 3863688 4507636 6761454 9015272 13522908 27045816