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1242112 = 2101213
BaseRepresentation
bin100101111010000000000
32100002212011
410233100000
5304221422
642342304
713362214
oct4572000
92302764
101242112
11779243
124ba994
133464a1
14244944
15198077
hex12f400

1242112 has 22 divisors (see below), whose sum is σ = 2485058. Its totient is φ = 620544.

The previous prime is 1242107. The next prime is 1242119. The reversal of 1242112 is 2112421.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 746496 + 495616 = 864^2 + 704^2 .

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 junction number, because it is equal to n+sod(n) for n = 1242092 and 1242101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242119) 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 as a sum of consecutive naturals, namely, 418 + ... + 1630.

21242112 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 1242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242529).

1242112 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1242112 is an equidigital number, since it uses as much as digits as its factorization.

1242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1215 counting only the distinct ones).

The product of its digits is 32, while the sum is 13.

The square root of 1242112 is about 1114.5007851052. The cubic root of 1242112 is about 107.4946671232.

Adding to 1242112 its reverse (2112421), we get a palindrome (3354533).

It can be divided in two parts, 12 and 42112, that added together give a palindrome (42124).

The spelling of 1242112 in words is "one million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1213 2426 4852 9704 19408 38816 77632 155264 310528 621056 1242112