| Base | Representation |
|---|---|
| bin | 111100001001110… |
| … | …000001111010000 |
| 3 | 2121022222011012111 |
| 4 | 330021300033100 |
| 5 | 4031323033330 |
| 6 | 244050235104 |
| 7 | 34002654301 |
| oct | 7411601720 |
| 9 | 2538864174 |
| 10 | 1009189840 |
| 11 | 47873029a |
| 12 | 241b85a94 |
| 13 | 131107069 |
| 14 | 980607a8 |
| 15 | 5d8e932a |
| hex | 3c2703d0 |
1009189840 has 40 divisors (see below), whose sum is σ = 2347749288. Its totient is φ = 403438080.
The previous prime is 1009189823. The next prime is 1009189849. The reversal of 1009189840 is 489819001.
It can be written as a sum of positive squares in 4 ways, for example, as 348494224 + 660695616 = 18668^2 + 25704^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-3 number, since 3×10091898403 (a number of 28 digits) contains 333 as substring.
It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.
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 = 1009189793 and 1009189802.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1009189849) 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 7 ways as a sum of consecutive naturals, for example, 207274 + ... + 212086.
Almost surely, 21009189840 is an apocalyptic number.
1009189840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1009189840 is an abundant number, since it is smaller than the sum of its proper divisors (1338559448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1009189840 is a wasteful number, since it uses less digits than its factorization.
1009189840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7447 (or 7441 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 40.
The square root of 1009189840 is about 31767.7484250930. The cubic root of 1009189840 is about 1003.0539439322.
The spelling of 1009189840 in words is "one billion, nine million, one hundred eighty-nine thousand, eight hundred forty".
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