| Base | Representation |
|---|---|
| bin | 110010001000011… |
| … | …0111010010000000 |
| 3 | 11100020020200111000 |
| 4 | 1210100313102000 |
| 5 | 11421112023321 |
| 6 | 434530052000 |
| 7 | 56453655030 |
| oct | 14420672200 |
| 9 | 4306220430 |
| 10 | 1682142336 |
| 11 | 793586486 |
| 12 | 3ab41a000 |
| 13 | 20a6662c4 |
| 14 | 11d5978c0 |
| 15 | 9ca27826 |
| hex | 64437480 |
1682142336 has 256 divisors, whose sum is σ = 5859532800. Its totient is φ = 464901120.
The previous prime is 1682142289. The next prime is 1682142353. The reversal of 1682142336 is 6332412861.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (41472) is a multiple of the sum of its prime factors (2304).
It is a self number, because there is not a number n which added to its sum of digits gives 1682142336.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 748831 + ... + 751073.
It is an arithmetic number, because the mean of its divisors is an integer number (22888800).
Almost surely, 21682142336 is an apocalyptic number.
1682142336 is a gapful number since it is divisible by the number (16) 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 1682142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929766400).
1682142336 is an abundant number, since it is smaller than the sum of its proper divisors (4177390464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1682142336 is a wasteful number, since it uses less digits than its factorization.
1682142336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2304 (or 2286 counting only the distinct ones).
The product of its digits is 41472, while the sum is 36.
The square root of 1682142336 is about 41013.9285609170. The cubic root of 1682142336 is about 1189.2894885314.
The spelling of 1682142336 in words is "one billion, six hundred eighty-two million, one hundred forty-two thousand, three hundred thirty-six".
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