Base | Representation |
---|---|
bin | 100110011010100… |
… | …1000110001010010 |
3 | 10022211110212210120 |
4 | 1030311020301102 |
5 | 10114440413340 |
6 | 331523411110 |
7 | 43641205401 |
oct | 11465106122 |
9 | 3284425716 |
10 | 1288997970 |
11 | 601673287 |
12 | 2bb823a96 |
13 | 1770852c0 |
14 | c3299638 |
15 | 7826a4d0 |
hex | 4cd48c52 |
1288997970 has 256 divisors, whose sum is σ = 3762339840. Its totient is φ = 279392256.
The previous prime is 1288997959. The next prime is 1288997977. The reversal of 1288997970 is 797998821.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (1288997977) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12046657 + ... + 12046763.
It is an arithmetic number, because the mean of its divisors is an integer number (14696640).
Almost surely, 21288997970 is an apocalyptic number.
1288997970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1288997970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881169920).
1288997970 is an abundant number, since it is smaller than the sum of its proper divisors (2473341870).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1288997970 is a wasteful number, since it uses less digits than its factorization.
1288997970 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 249.
The product of its (nonzero) digits is 4572288, while the sum is 60.
The square root of 1288997970 is about 35902.6178711247. The cubic root of 1288997970 is about 1088.3053007348.
The spelling of 1288997970 in words is "one billion, two hundred eighty-eight million, nine hundred ninety-seven thousand, nine hundred seventy".
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