Base | Representation |
---|---|
bin | 1101010110101… |
… | …01110010010000 |
3 | 21210210110000201 |
4 | 12223111302100 |
5 | 212134242340 |
6 | 15041024544 |
7 | 2530123453 |
oct | 653256220 |
9 | 253713021 |
10 | 112024720 |
11 | 58264915 |
12 | 31625154 |
13 | 1a293b22 |
14 | 10c4149a |
15 | 9c7c79a |
hex | 6ad5c90 |
112024720 has 80 divisors (see below), whose sum is σ = 274803840. Its totient is φ = 42386432.
The previous prime is 112024673. The next prime is 112024721. The reversal of 112024720 is 27420211.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (112024721) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196596 + ... + 197164.
It is an arithmetic number, because the mean of its divisors is an integer number (3435048).
Almost surely, 2112024720 is an apocalyptic number.
112024720 is a gapful number since it is divisible by the number (10) 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 112024720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137401920).
112024720 is an abundant number, since it is smaller than the sum of its proper divisors (162779120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112024720 is a wasteful number, since it uses less digits than its factorization.
112024720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 712 (or 706 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 19.
The square root of 112024720 is about 10584.1730900435. The cubic root of 112024720 is about 482.0639137482.
Adding to 112024720 its reverse (27420211), we get a palindrome (139444931).
The spelling of 112024720 in words is "one hundred twelve million, twenty-four thousand, seven hundred twenty".
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