Base | Representation |
---|---|
bin | 101100101101… |
… | …001010000000 |
3 | 211001101212000 |
4 | 230231022000 |
5 | 11000004141 |
6 | 1055104000 |
7 | 201420021 |
oct | 54551200 |
9 | 24041760 |
10 | 11719296 |
11 | 6684976 |
12 | 3b12000 |
13 | 25742c4 |
14 | 17b0c48 |
15 | 10675b6 |
hex | b2d280 |
11719296 has 64 divisors (see below), whose sum is σ = 34598400. Its totient is φ = 3905280.
The previous prime is 11719289. The next prime is 11719303. The reversal of 11719296 is 69291711.
It is an interprime number because it is at equal distance from previous prime (11719289) and next prime (11719303).
It is a tau number, because it is divible by the number of its divisors (64).
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 11719296.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1761 + ... + 5151.
It is an arithmetic number, because the mean of its divisors is an integer number (540600).
Almost surely, 211719296 is an apocalyptic number.
11719296 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 11719296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17299200).
11719296 is an abundant number, since it is smaller than the sum of its proper divisors (22879104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11719296 is an equidigital number, since it uses as much as digits as its factorization.
11719296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3414 (or 3396 counting only the distinct ones).
The product of its digits is 6804, while the sum is 36.
The square root of 11719296 is about 3423.3457318828. The cubic root of 11719296 is about 227.1436016860.
The spelling of 11719296 in words is "eleven million, seven hundred nineteen thousand, two hundred ninety-six".
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