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1122112 = 2689197
BaseRepresentation
bin100010001111101000000
32010000020201
410101331000
5241401422
640014544
712352315
oct4217500
92100221
101122112
116a7072
12461454
13303994
14212d0c
15172727
hex111f40

1122112 has 28 divisors (see below), whose sum is σ = 2263140. Its totient is φ = 551936.

The previous prime is 1122103. The next prime is 1122113. The reversal of 1122112 is 2112211.

It can be written as a sum of positive squares in 2 ways, for example, as 732736 + 389376 = 856^2 + 624^2 .

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

It is an insolite number, because it is divisible by the sum (16) and by the product (64) of the squares of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5598 + ... + 5794.

21122112 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 1122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131570).

1122112 is an abundant number, since it is smaller than the sum of its proper divisors (1141028).

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

1122112 is an equidigital number, since it uses as much as digits as its factorization.

1122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its digits is 8, while the sum is 10.

The square root of 1122112 is about 1059.2978806738. The cubic root of 1122112 is about 103.9151181174.

The spelling of 1122112 in words is "one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 89 178 197 356 394 712 788 1424 1576 2848 3152 5696 6304 12608 17533 35066 70132 140264 280528 561056 1122112