| Base | Representation |
|---|---|
| bin | 110010000100111… |
| … | …1001010111000000 |
| 3 | 11100002210220000000 |
| 4 | 1210021321113000 |
| 5 | 11420130101330 |
| 6 | 434423000000 |
| 7 | 56432310000 |
| oct | 14411712700 |
| 9 | 4302726000 |
| 10 | 1680315840 |
| 11 | 792549185 |
| 12 | 3aa899000 |
| 13 | 20a176b38 |
| 14 | 11d240000 |
| 15 | 9c7b6560 |
| hex | 642795c0 |
1680315840 has 560 divisors, whose sum is σ = 7000707360. Its totient is φ = 384072192.
The previous prime is 1680315809. The next prime is 1680315841. The reversal of 1680315840 is 485130861.
It is a tau number, because it is divible by the number of its divisors (560).
It is a super-2 number, since 2×16803158402 = 5646922644309811200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1680315795 and 1680315804.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1680315841) 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 79 ways as a sum of consecutive naturals, for example, 240045117 + ... + 240045123.
Almost surely, 21680315840 is an apocalyptic number.
1680315840 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 1680315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500353680).
1680315840 is an abundant number, since it is smaller than the sum of its proper divisors (5320391520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1680315840 is an frugal number, since it uses more digits than its factorization.
1680315840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 66 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The square root of 1680315840 is about 40991.6557362593. The cubic root of 1680315840 is about 1188.8588830398.
The spelling of 1680315840 in words is "one billion, six hundred eighty million, three hundred fifteen thousand, eight hundred forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.073 sec. • engine limits •