Search a number
-
+
27071904 = 253733863
BaseRepresentation
bin110011101000…
…1010110100000
31212221101200010
41213101112200
523412300104
62404124520
7446051556
oct147212640
955841603
1027071904
1114310582
129096740
1357bb2a2
143849bd6
15259b489
hex19d15a0

27071904 has 48 divisors (see below), whose sum is σ = 72055872. Its totient is φ = 8898048.

The previous prime is 27071893. The next prime is 27071921. The reversal of 27071904 is 40917072.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5077 + ... + 8939.

It is an arithmetic number, because the mean of its divisors is an integer number (1501164).

Almost surely, 227071904 is an apocalyptic number.

27071904 is a gapful number since it is divisible by the number (24) 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 27071904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36027936).

27071904 is an abundant number, since it is smaller than the sum of its proper divisors (44983968).

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

27071904 is a wasteful number, since it uses less digits than its factorization.

27071904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 27071904 is about 5203.0667879627. The cubic root of 27071904 is about 300.2660750549.

Adding to 27071904 its reverse (40917072), we get a palindrome (67988976).

The spelling of 27071904 in words is "twenty-seven million, seventy-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 3863 7008 7726 11589 15452 23178 30904 46356 61808 92712 123616 185424 281999 370848 563998 845997 1127996 1691994 2255992 3383988 4511984 6767976 9023968 13535952 27071904