Base | Representation |
---|---|
bin | 1101010110110… |
… | …10111010000000 |
3 | 21210211111210121 |
4 | 12223122322000 |
5 | 212140430241 |
6 | 15041310024 |
7 | 2530241560 |
oct | 653327200 |
9 | 253744717 |
10 | 112045696 |
11 | 58279654 |
12 | 31635314 |
13 | 1a2a0539 |
14 | 10c48da0 |
15 | 9c83ad1 |
hex | 6adae80 |
112045696 has 64 divisors (see below), whose sum is σ = 266244480. Its totient is φ = 45923328.
The previous prime is 112045693. The next prime is 112045723. The reversal of 112045696 is 696540211.
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (112045693) 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 7 ways as a sum of consecutive naturals, for example, 17890 + ... + 23326.
It is an arithmetic number, because the mean of its divisors is an integer number (4160070).
Almost surely, 2112045696 is an apocalyptic number.
112045696 is a gapful number since it is divisible by the number (16) 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 112045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133122240).
112045696 is an abundant number, since it is smaller than the sum of its proper divisors (154198784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112045696 is an equidigital number, since it uses as much as digits as its factorization.
112045696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5481 (or 5469 counting only the distinct ones).
The product of its (nonzero) digits is 12960, while the sum is 34.
The square root of 112045696 is about 10585.1639571619. The cubic root of 112045696 is about 482.0939997911.
It can be divided in two parts, 11204 and 5696, that added together give a square (16900 = 1302).
The spelling of 112045696 in words is "one hundred twelve million, forty-five thousand, six hundred ninety-six".
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