Search a number
-
+
27027364 = 22713411811
BaseRepresentation
bin110011100011…
…0011110100100
31212212010120111
41213012132210
523404333424
62403142404
7445504660
oct147063644
955763514
1027027364
1114290071
129074a04
1357a3c30
1438378a0
15258d194
hex19c67a4

27027364 has 48 divisors (see below), whose sum is σ = 59665536. Its totient is φ = 10425600.

The previous prime is 27027361. The next prime is 27027379. The reversal of 27027364 is 46372072.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27027361) 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 15 ways as a sum of consecutive naturals, for example, 14019 + ... + 15829.

It is an arithmetic number, because the mean of its divisors is an integer number (1243032).

Almost surely, 227027364 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 27027364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29832768).

27027364 is an abundant number, since it is smaller than the sum of its proper divisors (32638172).

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

27027364 is a wasteful number, since it uses less digits than its factorization.

27027364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 27027364 is about 5198.7848580221. The cubic root of 27027364 is about 300.1013139293.

It can be divided in two parts, 2702736 and 4, that multiplied together give a square (10810944 = 32882).

The spelling of 27027364 in words is "twenty-seven million, twenty-seven thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 1066 1148 1811 2132 3622 3731 7244 7462 12677 14924 23543 25354 47086 50708 74251 94172 148502 164801 297004 329602 519757 659204 965263 1039514 1930526 2079028 3861052 6756841 13513682 27027364