| Base | Representation |
|---|---|
| bin | 101000110010010… |
| … | …110111110000000 |
| 3 | 1202200121112022010 |
| 4 | 220302112332000 |
| 5 | 2400134234140 |
| 6 | 151522412520 |
| 7 | 22646240226 |
| oct | 5062267600 |
| 9 | 1680545263 |
| 10 | 684289920 |
| 11 | 32129a166 |
| 12 | 171201140 |
| 13 | ab9cb7a2 |
| 14 | 66c48b16 |
| 15 | 4011c880 |
| hex | 28c96f80 |
684289920 has 128 divisors (see below), whose sum is σ = 2227875840. Its totient is φ = 178571264.
The previous prime is 684289913. The next prime is 684289937. The reversal of 684289920 is 29982486.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×6842899202 = 936505389227212800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 684289920.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 86449 + ... + 94031.
It is an arithmetic number, because the mean of its divisors is an integer number (17405280).
Almost surely, 2684289920 is an apocalyptic number.
684289920 is a gapful number since it is divisible by the number (60) 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 684289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113937920).
684289920 is an abundant number, since it is smaller than the sum of its proper divisors (1543585920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
684289920 is a wasteful number, since it uses less digits than its factorization.
684289920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7652 (or 7640 counting only the distinct ones).
The product of its (nonzero) digits is 497664, while the sum is 48.
The square root of 684289920 is about 26158.9357581688. The cubic root of 684289920 is about 881.2112796226.
The spelling of 684289920 in words is "six hundred eighty-four million, two hundred eighty-nine thousand, nine hundred twenty".
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