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111168 = 2632193
BaseRepresentation
bin11011001001000000
312122111100
4123021000
512024133
62214400
7642051
oct331100
9178440
10111168
1176582
1254400
133b7a5
142c728
1522e13
hex1b240

111168 has 42 divisors (see below), whose sum is σ = 320294. Its totient is φ = 36864.

The previous prime is 111149. The next prime is 111187. The reversal of 111168 is 861111.

It is an interprime number because it is at equal distance from previous prime (111149) and next prime (111187).

It can be written as a sum of positive squares in only one way, i.e., 82944 + 28224 = 288^2 + 168^2 .

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 nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 10.

It is a nialpdrome in base 8 and base 12.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 111168.

It is an unprimeable number.

111168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 480 + ... + 672.

2111168 is an apocalyptic number.

111168 is a gapful number since it is divisible by the number (18) 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 111168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160147).

111168 is an abundant number, since it is smaller than the sum of its proper divisors (209126).

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

111168 is a wasteful number, since it uses less digits than its factorization.

111168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

The square root of 111168 is about 333.4186557468. The cubic root of 111168 is about 48.0831890746.

Adding to 111168 its reverse (861111), we get a palindrome (972279).

The spelling of 111168 in words is "one hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 193 288 386 576 579 772 1158 1544 1737 2316 3088 3474 4632 6176 6948 9264 12352 13896 18528 27792 37056 55584 111168