Search a number
-
+
27856220 = 22572341211
BaseRepresentation
bin110101001000…
…0110101011100
31221102020112212
41222100311130
524112344340
62433015552
7455526320
oct152206534
957366485
1027856220
11147a6877
1293b45b8
135a04292
1439b1980
1526a3a65
hex1a90d5c

27856220 has 96 divisors (see below), whose sum is σ = 71801856. Its totient is φ = 8870400.

The previous prime is 27856207. The next prime is 27856229. The reversal of 27856220 is 2265872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27856229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131915 + ... + 132125.

It is an arithmetic number, because the mean of its divisors is an integer number (747936).

Almost surely, 227856220 is an apocalyptic number.

27856220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27856220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35900928).

27856220 is an abundant number, since it is smaller than the sum of its proper divisors (43945636).

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

27856220 is a wasteful number, since it uses less digits than its factorization.

27856220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 27856220 is about 5277.8992032815. The cubic root of 27856220 is about 303.1382421678.

The spelling of 27856220 in words is "twenty-seven million, eight hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 41 46 70 82 92 115 140 161 164 205 211 230 287 322 410 422 460 574 644 805 820 844 943 1055 1148 1435 1477 1610 1886 2110 2870 2954 3220 3772 4220 4715 4853 5740 5908 6601 7385 8651 9430 9706 13202 14770 17302 18860 19412 24265 26404 29540 33005 33971 34604 43255 48530 60557 66010 67942 86510 97060 121114 132020 135884 169855 173020 198973 242228 302785 339710 397946 605570 679420 795892 994865 1211140 1392811 1989730 2785622 3979460 5571244 6964055 13928110 27856220