Base | Representation |
---|---|
bin | 1101011001101… |
… | …00011100100000 |
3 | 21211112010220000 |
4 | 12230310130200 |
5 | 212234144243 |
6 | 15053220000 |
7 | 2533330041 |
oct | 654643440 |
9 | 254463800 |
10 | 112412448 |
11 | 584aa155 |
12 | 31791600 |
13 | 1a39b455 |
14 | 10d028c8 |
15 | 9d075d3 |
hex | 6b34720 |
112412448 has 120 divisors (see below), whose sum is σ = 341510400. Its totient is φ = 36236160.
The previous prime is 112412441. The next prime is 112412453. The reversal of 112412448 is 844214211.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (112412441) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79653 + ... + 81051.
It is an arithmetic number, because the mean of its divisors is an integer number (2845920).
Almost surely, 2112412448 is an apocalyptic number.
112412448 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 112412448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170755200).
112412448 is an abundant number, since it is smaller than the sum of its proper divisors (229097952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112412448 is a wasteful number, since it uses less digits than its factorization.
112412448 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1452 (or 1435 counting only the distinct ones).
The product of its digits is 2048, while the sum is 27.
The square root of 112412448 is about 10602.4736736292. The cubic root of 112412448 is about 482.6194293925.
Adding to 112412448 its reverse (844214211), we get a palindrome (956626659).
It can be divided in two parts, 11241 and 2448, that added together give a square (13689 = 1172).
The spelling of 112412448 in words is "one hundred twelve million, four hundred twelve thousand, four hundred forty-eight".
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