Base | Representation |
---|---|
bin | 100001010001000… |
… | …0100101000000000 |
3 | 2212210101021002100 |
4 | 1002202010220000 |
5 | 4241223244341 |
6 | 302432350400 |
7 | 36442532214 |
oct | 10242045000 |
9 | 2783337070 |
10 | 1116228096 |
11 | 523099765 |
12 | 2719a5400 |
13 | 14a3432c9 |
14 | a8364944 |
15 | 67ede3b6 |
hex | 42884a00 |
1116228096 has 120 divisors (see below), whose sum is σ = 3332995380. Its totient is φ = 359202816.
The previous prime is 1116228083. The next prime is 1116228097. The reversal of 1116228096 is 6908226111.
It can be written as a sum of positive squares in 2 ways, for example, as 1106493696 + 9734400 = 33264^2 + 3120^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1116228096.
It is not an unprimeable number, because it can be changed into a prime (1116228097) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129456 + ... + 137808.
Almost surely, 21116228096 is an apocalyptic number.
1116228096 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 1116228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666497690).
1116228096 is an abundant number, since it is smaller than the sum of its proper divisors (2216767284).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1116228096 is an equidigital number, since it uses as much as digits as its factorization.
1116228096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8406 (or 8387 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 36.
The square root of 1116228096 is about 33409.9999401377. Note that the first 4 decimals coincide. The cubic root of 1116228096 is about 1037.3317003049.
The spelling of 1116228096 in words is "one billion, one hundred sixteen million, two hundred twenty-eight thousand, ninety-six".
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