Base | Representation |
---|---|
bin | 100101110100… |
… | …000111110000 |
3 | 200122121211100 |
4 | 211310013300 |
5 | 10014202231 |
6 | 552244400 |
7 | 150154224 |
oct | 45640760 |
9 | 20577740 |
10 | 9912816 |
11 | 5660711 |
12 | 33a0700 |
13 | 2090c94 |
14 | 1460784 |
15 | d0c1e6 |
hex | 9741f0 |
9912816 has 120 divisors (see below), whose sum is σ = 30060576. Its totient is φ = 3041280.
The previous prime is 9912803. The next prime is 9912829. The reversal of 9912816 is 6182199.
It is an interprime number because it is at equal distance from previous prime (9912803) and next prime (9912829).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a zygodrome in base 6.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 135756 + ... + 135828.
Almost surely, 29912816 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 9912816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15030288).
9912816 is an abundant number, since it is smaller than the sum of its proper divisors (20147760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9912816 is a wasteful number, since it uses less digits than its factorization.
9912816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 151 (or 142 counting only the distinct ones).
The product of its digits is 7776, while the sum is 36.
The square root of 9912816 is about 3148.4624819108. The cubic root of 9912816 is about 214.8155331401.
The spelling of 9912816 in words is "nine million, nine hundred twelve thousand, eight hundred sixteen".
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