Base | Representation |
---|---|
bin | 111011110111011… |
… | …011101011100000 |
3 | 2120222221011000000 |
4 | 323313123223200 |
5 | 4024110341130 |
6 | 243355300000 |
7 | 33614102046 |
oct | 7367335340 |
9 | 2528834000 |
10 | 1004387040 |
11 | 475a4a938 |
12 | 24044a600 |
13 | 130114c77 |
14 | 97570396 |
15 | 5d29b260 |
hex | 3bddbae0 |
1004387040 has 336 divisors, whose sum is σ = 3635755200. Its totient is φ = 262020096.
The previous prime is 1004386973. The next prime is 1004387051. The reversal of 1004387040 is 407834001.
It is a super-2 number, since 2×10043870402 = 2017586652239923200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 1004386995 and 1004387013.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9214506 + ... + 9214614.
It is an arithmetic number, because the mean of its divisors is an integer number (10820700).
Almost surely, 21004387040 is an apocalyptic number.
1004387040 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 1004387040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817877600).
1004387040 is an abundant number, since it is smaller than the sum of its proper divisors (2631368160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1004387040 is an equidigital number, since it uses as much as digits as its factorization.
1004387040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 221 (or 198 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 1004387040 is about 31692.0658840663. The cubic root of 1004387040 is about 1001.4602134056.
The spelling of 1004387040 in words is "one billion, four million, three hundred eighty-seven thousand, forty".
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