Base | Representation |
---|---|
bin | 110010010010011… |
… | …0110110000000000 |
3 | 11100121002221101011 |
4 | 1210210312300000 |
5 | 11423432224130 |
6 | 435234250304 |
7 | 56546343040 |
oct | 14444666000 |
9 | 4317087334 |
10 | 1687383040 |
11 | 796535942 |
12 | 3b1126994 |
13 | 20b77c805 |
14 | 12015d720 |
15 | 9d21052a |
hex | 64936c00 |
1687383040 has 264 divisors, whose sum is σ = 4890201120. Its totient is φ = 547160064.
The previous prime is 1687383029. The next prime is 1687383043. The reversal of 1687383040 is 403837861.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 1687382984 and 1687383002.
It is not an unprimeable number, because it can be changed into a prime (1687383043) 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 23 ways as a sum of consecutive naturals, for example, 18959316 + ... + 18959404.
Almost surely, 21687383040 is an apocalyptic number.
1687383040 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 1687383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445100560).
1687383040 is an abundant number, since it is smaller than the sum of its proper divisors (3202818080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1687383040 is an equidigital number, since it uses as much as digits as its factorization.
1687383040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 167 (or 126 counting only the distinct ones).
The product of its (nonzero) digits is 96768, while the sum is 40.
The square root of 1687383040 is about 41077.7681964344. The cubic root of 1687383040 is about 1190.5232827959.
The spelling of 1687383040 in words is "one billion, six hundred eighty-seven million, three hundred eighty-three thousand, forty".
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