| Base | Representation |
|---|---|
| bin | 111111000001010… |
| … | …111011110000000 |
| 3 | 2201200112120022200 |
| 4 | 333001113132000 |
| 5 | 4131133313010 |
| 6 | 252530033200 |
| 7 | 35126044665 |
| oct | 7701273600 |
| 9 | 2650476280 |
| 10 | 1057322880 |
| 11 | 4a2916369 |
| 12 | 256118800 |
| 13 | 13b08a753 |
| 14 | a05cda6c |
| 15 | 62c55cc0 |
| hex | 3f057780 |
1057322880 has 288 divisors, whose sum is σ = 3827711160. Its totient is φ = 268916736.
The previous prime is 1057322873. The next prime is 1057322881. The reversal of 1057322880 is 882237501.
1057322880 is a `hidden beast` number, since 1 + 0 + 573 + 2 + 2 + 8 + 80 = 666.
1057322880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×10573228802 = 2235863345142988800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1057322881) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3046867 + ... + 3047213.
Almost surely, 21057322880 is an apocalyptic number.
1057322880 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 1057322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913855580).
1057322880 is an abundant number, since it is smaller than the sum of its proper divisors (2770388280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1057322880 is a wasteful number, since it uses less digits than its factorization.
1057322880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 418 (or 380 counting only the distinct ones).
The product of its (nonzero) digits is 26880, while the sum is 36.
The square root of 1057322880 is about 32516.5016568511. The cubic root of 1057322880 is about 1018.7537258574.
The spelling of 1057322880 in words is "one billion, fifty-seven million, three hundred twenty-two thousand, eight hundred eighty".
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