Base | Representation |
---|---|
bin | 101001000110001… |
… | …1001000111000000 |
3 | 10120002210110100000 |
4 | 1102030121013000 |
5 | 10311004332123 |
6 | 344500200000 |
7 | 46113065460 |
oct | 12214310700 |
9 | 3502713300 |
10 | 1378980288 |
11 | 648442334 |
12 | 325999000 |
13 | 18c8cc18a |
14 | d11ddba0 |
15 | 810e1b43 |
hex | 523191c0 |
1378980288 has 336 divisors, whose sum is σ = 4792919040. Its totient is φ = 384943104.
The previous prime is 1378980283. The next prime is 1378980299. The reversal of 1378980288 is 8820898731.
It is a tau number, because it is divible by the number of its divisors (336).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1378980283) 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 47 ways as a sum of consecutive naturals, for example, 5769673 + ... + 5769911.
It is an arithmetic number, because the mean of its divisors is an integer number (14264640).
Almost surely, 21378980288 is an apocalyptic number.
1378980288 is a gapful number since it is divisible by the number (18) 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 1378980288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396459520).
1378980288 is an abundant number, since it is smaller than the sum of its proper divisors (3413938752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1378980288 is an equidigital number, since it uses as much as digits as its factorization.
1378980288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 326 (or 304 counting only the distinct ones).
The product of its (nonzero) digits is 1548288, while the sum is 54.
The square root of 1378980288 is about 37134.6238435237. The cubic root of 1378980288 is about 1113.0619911564.
The spelling of 1378980288 in words is "one billion, three hundred seventy-eight million, nine hundred eighty thousand, two hundred eighty-eight".
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