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282117 = 31183103
BaseRepresentation
bin1000100111000000101
3112022222210
41010320011
533011432
610014033
72253333
oct1047005
9468883
10282117
11182a60
12117319
139b544
1474b53
15588cc
hex44e05

282117 has 16 divisors (see below), whose sum is σ = 419328. Its totient is φ = 167280.

The previous prime is 282103. The next prime is 282127. The reversal of 282117 is 711282.

It is not a de Polignac number, because 282117 - 24 = 282101 is a prime.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 282093 and 282102.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 282117.

It is not an unprimeable number, because it can be changed into a prime (282127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2688 + ... + 2790.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2282117 is an apocalyptic number.

It is an amenable number.

282117 is a deficient number, since it is larger than the sum of its proper divisors (137211).

282117 is a wasteful number, since it uses less digits than its factorization.

282117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200.

The product of its digits is 224, while the sum is 21.

The square root of 282117 is about 531.1468723432. The cubic root of 282117 is about 65.5857897289.

Adding to 282117 its reverse (711282), we get a palindrome (993399).

It can be divided in two parts, 28 and 2117, that added together give a triangular number (2145 = T65).

The spelling of 282117 in words is "two hundred eighty-two thousand, one hundred seventeen".

Divisors: 1 3 11 33 83 103 249 309 913 1133 2739 3399 8549 25647 94039 282117