| Base | Representation |
|---|---|
| bin | 101001000100000… |
| … | …110001111100000 |
| 3 | 1210000100210000022 |
| 4 | 221010012033200 |
| 5 | 2402332040000 |
| 6 | 152210213012 |
| 7 | 23033615300 |
| oct | 5104061740 |
| 9 | 1700323008 |
| 10 | 688940000 |
| 11 | 323985901 |
| 12 | 172884168 |
| 13 | ac969208 |
| 14 | 676d9600 |
| 15 | 4073a585 |
| hex | 291063e0 |
688940000 has 360 divisors, whose sum is σ = 2131473960. Its totient is φ = 217728000.
The previous prime is 688939997. The next prime is 688940003. The reversal of 688940000 is 49886.
It is an interprime number because it is at equal distance from previous prime (688939997) and next prime (688940003).
It is a Harshad number since it is a multiple of its sum of digits (35).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (688940003) by changing a digit.
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 59 ways as a sum of consecutive naturals, for example, 18619982 + ... + 18620018.
It is an arithmetic number, because the mean of its divisors is an integer number (5920761).
Almost surely, 2688940000 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 688940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065736980).
688940000 is an abundant number, since it is smaller than the sum of its proper divisors (1442533960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
688940000 is a wasteful number, since it uses less digits than its factorization.
688940000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 100 (or 70 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 35.
The square root of 688940000 is about 26247.6665629537. Note that the first 3 decimals coincide. The cubic root of 688940000 is about 883.2028603623.
Adding to 688940000 its reverse (49886), we get a palindrome (688989886).
It can be divided in two parts, 6889 and 40000, that multiplied together give a square (275560000 = 166002).
The spelling of 688940000 in words is "six hundred eighty-eight million, nine hundred forty thousand".
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