Base | Representation |
---|---|
bin | 100110110001011… |
… | …0111000001010000 |
3 | 10100200000211101110 |
4 | 1031202313001100 |
5 | 10131022441023 |
6 | 333032333320 |
7 | 44145115641 |
oct | 11542670120 |
9 | 3320024343 |
10 | 1300983888 |
11 | 60840a4a6 |
12 | 303844240 |
13 | 1796c0a69 |
14 | c4ad96c8 |
15 | 79336a93 |
hex | 4d8b7050 |
1300983888 has 80 divisors (see below), whose sum is σ = 3591466560. Its totient is φ = 404379648.
The previous prime is 1300983841. The next prime is 1300983889. The reversal of 1300983888 is 8883890031.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1300983889) 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 15 ways as a sum of consecutive naturals, for example, 81631 + ... + 96257.
It is an arithmetic number, because the mean of its divisors is an integer number (44893332).
Almost surely, 21300983888 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1300983888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795733280).
1300983888 is an abundant number, since it is smaller than the sum of its proper divisors (2290482672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1300983888 is a wasteful number, since it uses less digits than its factorization.
1300983888 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14764 (or 14758 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 48.
The square root of 1300983888 is about 36069.1542456986. The cubic root of 1300983888 is about 1091.6681491061.
The spelling of 1300983888 in words is "one billion, three hundred million, nine hundred eighty-three thousand, eight hundred eighty-eight".
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