| Base | Representation |
|---|---|
| bin | 111111000001010… |
| … | …100101011000000 |
| 3 | 2201200111222121101 |
| 4 | 333001110223000 |
| 5 | 4131132431144 |
| 6 | 252525504144 |
| 7 | 35125666411 |
| oct | 7701245300 |
| 9 | 2650458541 |
| 10 | 1057311424 |
| 11 | 4a29087a4 |
| 12 | 256112054 |
| 13 | 13b085480 |
| 14 | a05c9808 |
| 15 | 62c526d4 |
| hex | 3f054ac0 |
1057311424 has 56 divisors (see below), whose sum is σ = 2264247440. Its totient is φ = 486964224.
The previous prime is 1057311407. The next prime is 1057311427. The reversal of 1057311424 is 4241137501.
It is a super-2 number, since 2×10573114242 = 2235814894641815552, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1057311392 and 1057311401.
It is not an unprimeable number, because it can be changed into a prime (1057311427) 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 7 ways as a sum of consecutive naturals, for example, 513982 + ... + 516034.
It is an arithmetic number, because the mean of its divisors is an integer number (40432990).
Almost surely, 21057311424 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 1057311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132123720).
1057311424 is an abundant number, since it is smaller than the sum of its proper divisors (1206936016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1057311424 is a wasteful number, since it uses less digits than its factorization.
1057311424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2697 (or 2687 counting only the distinct ones).
The product of its (nonzero) digits is 3360, while the sum is 28.
The square root of 1057311424 is about 32516.3254996625. The cubic root of 1057311424 is about 1018.7500464752.
Adding to 1057311424 its reverse (4241137501), we get a palindrome (5298448925).
It can be divided in two parts, 1057 and 311424, that added together give a square (312481 = 5592).
The spelling of 1057311424 in words is "one billion, fifty-seven million, three hundred eleven thousand, four hundred twenty-four".
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