Base | Representation |
---|---|
bin | 111100111111010… |
… | …110011101000000 |
3 | 2122022101222101210 |
4 | 330333112131000 |
5 | 4043422140000 |
6 | 245311330120 |
7 | 34233252666 |
oct | 7477263500 |
9 | 2568358353 |
10 | 1023240000 |
11 | 4856573a2 |
12 | 246820940 |
13 | 133cb6273 |
14 | 99c7ac36 |
15 | 5ec72350 |
hex | 3cfd6740 |
1023240000 has 140 divisors (see below), whose sum is σ = 3383466944. Its totient is φ = 272832000.
The previous prime is 1023239999. The next prime is 1023240011. The reversal of 1023240000 is 423201.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 115737 + ... + 124263.
Almost surely, 21023240000 is an apocalyptic number.
1023240000 is a gapful number since it is divisible by the number (10) 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 1023240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691733472).
1023240000 is an abundant number, since it is smaller than the sum of its proper divisors (2360226944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023240000 is an frugal number, since it uses more digits than its factorization.
1023240000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8562 (or 8537 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 1023240000 is about 31988.1227958128. The cubic root of 1023240000 is about 1007.6874188255.
Adding to 1023240000 its reverse (423201), we get a palindrome (1023663201).
The spelling of 1023240000 in words is "one billion, twenty-three million, two hundred forty thousand".
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