| Base | Representation |
|---|---|
| bin | 110010010100011… |
| … | …0110101000100100 |
| 3 | 11100200002012002200 |
| 4 | 1210220312220210 |
| 5 | 11424214244030 |
| 6 | 435312534500 |
| 7 | 56561266524 |
| oct | 14450665044 |
| 9 | 4320065080 |
| 10 | 1688431140 |
| 11 | 797091340 |
| 12 | 3b1551430 |
| 13 | 20ba588a6 |
| 14 | 120353684 |
| 15 | 9d36ad60 |
| hex | 64a36a24 |
1688431140 has 144 divisors (see below), whose sum is σ = 5643158976. Its totient is φ = 405216000.
The previous prime is 1688431133. The next prime is 1688431141. The reversal of 1688431140 is 411348861.
It is a happy number.
1688431140 is a `hidden beast` number, since 1 + 6 + 88 + 431 + 140 = 666.
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 = 1688431095 and 1688431104.
It is not an unprimeable number, because it can be changed into a prime (1688431141) 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 47 ways as a sum of consecutive naturals, for example, 195759 + ... + 204201.
It is an arithmetic number, because the mean of its divisors is an integer number (39188604).
Almost surely, 21688431140 is an apocalyptic number.
1688431140 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 1688431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821579488).
1688431140 is an abundant number, since it is smaller than the sum of its proper divisors (3954727836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1688431140 is a wasteful number, since it uses less digits than its factorization.
1688431140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8570 (or 8565 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 1688431140 is about 41090.5237250634. The cubic root of 1688431140 is about 1190.7697253961.
The spelling of 1688431140 in words is "one billion, six hundred eighty-eight million, four hundred thirty-one thousand, one hundred forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.093 sec. • engine limits •