Base | Representation |
---|---|
bin | 11110100001111000101000 |
3 | 120001121012120 |
4 | 132201320220 |
5 | 4022044422 |
6 | 443311240 |
7 | 125011455 |
oct | 36417050 |
9 | 16047176 |
10 | 8003112 |
11 | 4576947 |
12 | 281b520 |
13 | 1872990 |
14 | 10c482c |
15 | a8145c |
hex | 7a1e28 |
8003112 has 64 divisors (see below), whose sum is σ = 21833280. Its totient is φ = 2429952.
The previous prime is 8003111. The next prime is 8003119. The reversal of 8003112 is 2113008.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 8003091 and 8003100.
It is not an unprimeable number, because it can be changed into a prime (8003111) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35143 + ... + 35369.
It is an arithmetic number, because the mean of its divisors is an integer number (341145).
Almost surely, 28003112 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 8003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10916640).
8003112 is an abundant number, since it is smaller than the sum of its proper divisors (13830168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8003112 is a wasteful number, since it uses less digits than its factorization.
8003112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 362 (or 358 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 8003112 is about 2828.9772003323. The cubic root of 8003112 is about 200.0259299714.
The spelling of 8003112 in words is "eight million, three thousand, one hundred twelve".
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