Search a number
-
+
17112 = 2332331
BaseRepresentation
bin100001011011000
3212110210
410023120
51021422
6211120
7100614
oct41330
925423
1017112
1111947
129aa0
137a34
146344
15510c
hex42d8

17112 has 32 divisors (see below), whose sum is σ = 46080. Its totient is φ = 5280.

The previous prime is 17107. The next prime is 17117. The reversal of 17112 is 21171.

Adding to 17112 its reverse (21171), we get a palindrome (38283).

It is an interprime number because it is at equal distance from previous prime (17107) and next prime (17117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

217112 is an apocalyptic number.

17112 is a gapful number since it is divisible by the number (12) 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 17112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23040).

17112 is an abundant number, since it is smaller than the sum of its proper divisors (28968).

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

17112 is a wasteful number, since it uses less digits than its factorization.

17112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 59 counting only the distinct ones).

The product of its digits is 14, while the sum is 12.

The square root of 17112 is about 130.8128434061. The cubic root of 17112 is about 25.7691597121.

The spelling of 17112 in words is "seventeen thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2852 4278 5704 8556 17112