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126027 = 32111967
BaseRepresentation
bin11110110001001011
320101212200
4132301023
513013102
62411243
71033266
oct366113
9211780
10126027
1186760
1260b23
1345495
1433cdd
152751c
hex1ec4b

126027 has 24 divisors (see below), whose sum is σ = 212160. Its totient is φ = 71280.

The previous prime is 126023. The next prime is 126031. The reversal of 126027 is 720621.

Adding to 126027 its reverse (720621), we get a palindrome (846648).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126023) and next prime (126031).

It is not a de Polignac number, because 126027 - 22 = 126023 is a prime.

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126023) 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, 1848 + ... + 1914.

It is an arithmetic number, because the mean of its divisors is an integer number (8840).

126027 is a Friedman number, since it can be written as 627*201, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 201627 (with its own digits).

2126027 is an apocalyptic number.

126027 is a deficient number, since it is larger than the sum of its proper divisors (86133).

126027 is a wasteful number, since it uses less digits than its factorization.

126027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 100 counting only the distinct ones).

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

The square root of 126027 is about 355.0028168902. The cubic root of 126027 is about 50.1365600210.

The spelling of 126027 in words is "one hundred twenty-six thousand, twenty-seven".

Divisors: 1 3 9 11 19 33 57 67 99 171 201 209 603 627 737 1273 1881 2211 3819 6633 11457 14003 42009 126027