Search a number
-
+
27101016 = 23321133331
BaseRepresentation
bin110011101100…
…0011101011000
31212222212121100
41213120131120
523414213031
62404511400
7446232465
oct147303530
955885540
1027101016
1114330438
1290ab560
1357cb607
14385666c
1525a4de6
hex19d8758

27101016 has 48 divisors (see below), whose sum is σ = 74070360. Its totient is φ = 8951040.

The previous prime is 27100981. The next prime is 27101017. The reversal of 27101016 is 61010172.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 27101016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27101017) 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 11 ways as a sum of consecutive naturals, for example, 6471 + ... + 9801.

Almost surely, 227101016 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 27101016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37035180).

27101016 is an abundant number, since it is smaller than the sum of its proper divisors (46969344).

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

27101016 is a wasteful number, since it uses less digits than its factorization.

27101016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 27101016 is about 5205.8636171148. The cubic root of 27101016 is about 300.3736677149.

Adding to 27101016 its reverse (61010172), we get a palindrome (88111188).

The spelling of 27101016 in words is "twenty-seven million, one hundred one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 3331 4068 6662 8136 9993 13324 19986 26648 29979 39972 59958 79944 119916 239832 376403 752806 1129209 1505612 2258418 3011224 3387627 4516836 6775254 9033672 13550508 27101016