Base | Representation |
---|---|
bin | 1110111110110010… |
… | …11110100010000000 |
3 | 202202112020221222001 |
4 | 13133121132202000 |
5 | 112432444340440 |
6 | 3410032353344 |
7 | 403212034621 |
oct | 73731364200 |
9 | 22675227861 |
10 | 8042965120 |
11 | 3458053813 |
12 | 16856a5854 |
13 | 9b2407478 |
14 | 56428da48 |
15 | 321185b9a |
hex | 1df65e880 |
8042965120 has 64 divisors (see below), whose sum is σ = 19414549440. Its totient is φ = 3185925120.
The previous prime is 8042965109. The next prime is 8042965123. The reversal of 8042965120 is 215692408.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×80429651202 (a number of 21 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 8042965120.
It is not an unprimeable number, because it can be changed into a prime (8042965123) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4915 + ... + 126925.
It is an arithmetic number, because the mean of its divisors is an integer number (303352335).
Almost surely, 28042965120 is an apocalyptic number.
8042965120 is a gapful number since it is divisible by the number (80) 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 8042965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707274720).
8042965120 is an abundant number, since it is smaller than the sum of its proper divisors (11371584320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8042965120 is a wasteful number, since it uses less digits than its factorization.
8042965120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 122133 (or 122121 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 37.
The square root of 8042965120 is about 89682.5798023228. The cubic root of 8042965120 is about 2003.5740359955.
The spelling of 8042965120 in words is "eight billion, forty-two million, nine hundred sixty-five thousand, one hundred twenty".
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