| Base | Representation |
|---|---|
| bin | 110011010011111111000 |
| 3 | 10011102110002 |
| 4 | 12122133320 |
| 5 | 412301100 |
| 6 | 100012132 |
| 7 | 20202020 |
| oct | 6323770 |
| 9 | 3142402 |
| 10 | 1681400 |
| 11 | a49296 |
| 12 | 691048 |
| 13 | 46b416 |
| 14 | 31aa80 |
| 15 | 2332d5 |
| hex | 19a7f8 |
1681400 has 48 divisors (see below), whose sum is σ = 4471440. Its totient is φ = 576000.
The previous prime is 1681397. The next prime is 1681403. The reversal of 1681400 is 41861.
It is an interprime number because it is at equal distance from previous prime (1681397) and next prime (1681403).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an Ulam number.
1681400 is an undulating number in base 7.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1681403) 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 11 ways as a sum of consecutive naturals, for example, 800 + ... + 2000.
It is an arithmetic number, because the mean of its divisors is an integer number (93155).
21681400 is an apocalyptic number.
1681400 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 1681400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235720).
1681400 is an abundant number, since it is smaller than the sum of its proper divisors (2790040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1681400 is a wasteful number, since it uses less digits than its factorization.
1681400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1224 (or 1215 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 20.
The square root of 1681400 is about 1296.6880889404. The cubic root of 1681400 is about 118.9114516754.
It can be divided in two parts, 1681 and 400, that multiplied together give a square (672400 = 8202).
The spelling of 1681400 in words is "one million, six hundred eighty-one thousand, four hundred".
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