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1112072 = 231317237
BaseRepresentation
bin100001111100000001000
32002111110212
410033200020
5241041242
635500252
712311123
oct4174010
92074425
101112072
1169a575
12457688
132cc240
1420d3ba
1516e782
hex10f808

1112072 has 48 divisors (see below), whose sum is σ = 2449860. Its totient is φ = 470016.

The previous prime is 1112057. The next prime is 1112077. The reversal of 1112072 is 2702111.

It can be written as a sum of positive squares in 6 ways, for example, as 894916 + 217156 = 946^2 + 466^2 .

It is not an unprimeable number, because it can be changed into a prime (1112077) 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 in 11 ways as a sum of consecutive naturals, for example, 30038 + ... + 30074.

21112072 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 1112072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224930).

1112072 is an abundant number, since it is smaller than the sum of its proper divisors (1337788).

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

1112072 is a wasteful number, since it uses less digits than its factorization.

1112072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 1112072 is about 1054.5482445104. The cubic root of 1112072 is about 103.6042653144.

Adding to 1112072 its reverse (2702111), we get a palindrome (3814183).

The spelling of 1112072 in words is "one million, one hundred twelve thousand, seventy-two".

Divisors: 1 2 4 8 13 17 26 34 37 52 68 74 104 136 148 221 289 296 442 481 578 629 884 962 1156 1258 1768 1924 2312 2516 3757 3848 5032 7514 8177 10693 15028 16354 21386 30056 32708 42772 65416 85544 139009 278018 556036 1112072