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27126 = 23211137
BaseRepresentation
bin110100111110110
31101012200
412213312
51332001
6325330
7142041
oct64766
941180
1027126
1119420
1213846
13c468
149c58
158086
hex69f6

27126 has 24 divisors (see below), whose sum is σ = 64584. Its totient is φ = 8160.

The previous prime is 27109. The next prime is 27127. The reversal of 27126 is 62172.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 27099 and 27108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (2691).

227126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32292).

27126 is an abundant number, since it is smaller than the sum of its proper divisors (37458).

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

27126 is a wasteful number, since it uses less digits than its factorization.

27126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 27126 is about 164.6997267757. The cubic root of 27126 is about 30.0465942617.

Adding to 27126 its reverse (62172), we get a palindrome (89298).

It can be divided in two parts, 27 and 126, that added together give a triangular number (153 = T17).

The spelling of 27126 in words is "twenty-seven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 137 198 274 411 822 1233 1507 2466 3014 4521 9042 13563 27126