Search a number
-
+
27180216 = 23327199271
BaseRepresentation
bin110011110101…
…1110010111000
31220010220020200
41213223302320
523424231331
62410322200
7450012420
oct147536270
956126220
1027180216
1114384998
129129360
13582868b
143877480
1525bd5e6
hex19ebcb8

27180216 has 96 divisors (see below), whose sum is σ = 84864000. Its totient is φ = 7698240.

The previous prime is 27180193. The next prime is 27180217. The reversal of 27180216 is 61208172.

It is a self number, because there is not a number n which added to its sum of digits gives 27180216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27180217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100161 + ... + 100431.

It is an arithmetic number, because the mean of its divisors is an integer number (884000).

Almost surely, 227180216 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 27180216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42432000).

27180216 is an abundant number, since it is smaller than the sum of its proper divisors (57683784).

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

27180216 is a wasteful number, since it uses less digits than its factorization.

27180216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 27180216 is about 5213.4648747258. The cubic root of 27180216 is about 300.6659871099.

Adding to 27180216 its reverse (61208172), we get a palindrome (88388388).

The spelling of 27180216 in words is "twenty-seven million, one hundred eighty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 199 252 271 398 504 542 597 796 813 1084 1194 1393 1592 1626 1791 1897 2168 2388 2439 2786 3252 3582 3794 4179 4776 4878 5572 5691 6504 7164 7588 8358 9756 11144 11382 12537 14328 15176 16716 17073 19512 22764 25074 33432 34146 45528 50148 53929 68292 100296 107858 136584 161787 215716 323574 377503 431432 485361 647148 755006 970722 1132509 1294296 1510012 1941444 2265018 3020024 3397527 3882888 4530036 6795054 9060072 13590108 27180216