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1114112 = 21617
BaseRepresentation
bin100010000000000000000
32002121021102
410100000000
5241122422
635513532
712320066
oct4200000
92077242
101114112
116a105a
124588a8
1330014c
14210036
15170192
hex110000

1114112 has 34 divisors (see below), whose sum is σ = 2359278. Its totient is φ = 524288.

The previous prime is 1114111. The next prime is 1114117. The reversal of 1114112 is 2114111.

It can be written as a sum of positive squares in only one way, i.e., 1048576 + 65536 = 1024^2 + 256^2 .

It is a tau number, because it is divible by the number of its divisors (34).

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 nialpdrome in base 8 and base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1114093 and 1114102.

It is not an unprimeable number, because it can be changed into a prime (1114111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 1114112 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65528 + ... + 65544.

21114112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179639).

1114112 is an abundant number, since it is smaller than the sum of its proper divisors (1245166).

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

1114112 is an frugal number, since it uses more digits than its factorization.

1114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 19 counting only the distinct ones).

The product of its digits is 8, while the sum is 11.

The square root of 1114112 is about 1055.5150401581. The cubic root of 1114112 is about 103.6675776409.

Adding to 1114112 its reverse (2114111), we get a palindrome (3228223).

Subtracting 1114112 from its reverse (2114111), we obtain a palindrome (999999).

The spelling of 1114112 in words is "one million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8192 8704 16384 17408 32768 34816 65536 69632 139264 278528 557056 1114112