| Base | Representation |
|---|---|
| bin | 100001011111110… |
| … | …101000000000000 |
| 3 | 1110011111010122200 |
| 4 | 201133311000000 |
| 5 | 2122332213210 |
| 6 | 131433233200 |
| 7 | 16632564465 |
| oct | 4137650000 |
| 9 | 1404433580 |
| 10 | 561991680 |
| 11 | 269258738 |
| 12 | 138262800 |
| 13 | 8c57b773 |
| 14 | 548d166c |
| 15 | 345110c0 |
| hex | 217f5000 |
561991680 has 156 divisors (see below), whose sum is σ = 1948638900. Its totient is φ = 149815296.
The previous prime is 561991663. The next prime is 561991681. The reversal of 561991680 is 86199165.
561991680 is a `hidden beast` number, since 561 + 9 + 9 + 1 + 6 + 80 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 124010496 + 437981184 = 11136^2 + 20928^2 .
It is a super-3 number, since 3×5619916803 (a number of 27 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (561991681) 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 11 ways as a sum of consecutive naturals, for example, 182796 + ... + 185844.
It is an arithmetic number, because the mean of its divisors is an integer number (12491275).
Almost surely, 2561991680 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 561991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974319450).
561991680 is an abundant number, since it is smaller than the sum of its proper divisors (1386647220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
561991680 is a wasteful number, since it uses less digits than its factorization.
561991680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3084 (or 3059 counting only the distinct ones).
The product of its (nonzero) digits is 116640, while the sum is 45.
The square root of 561991680 is about 23706.3637026010. The cubic root of 561991680 is about 825.2330801492.
The spelling of 561991680 in words is "five hundred sixty-one million, nine hundred ninety-one thousand, six hundred eighty".
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