| Base | Representation |
|---|---|
| bin | 111110110110011… |
| … | …011001010000000 |
| 3 | 2201111010211111200 |
| 4 | 332312123022000 |
| 5 | 4124420020100 |
| 6 | 252344341200 |
| 7 | 35062500036 |
| oct | 7666331200 |
| 9 | 2644124450 |
| 10 | 1054454400 |
| 11 | 4a123721a |
| 12 | 255174800 |
| 13 | 13a5c4c1c |
| 14 | a0084556 |
| 15 | 6288ae00 |
| hex | 3ed9b280 |
1054454400 has 576 divisors, whose sum is σ = 4143484800. Its totient is φ = 254361600.
The previous prime is 1054454383. The next prime is 1054454407. The reversal of 1054454400 is 44544501.
1054454400 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 (576).
It is a super-2 number, since 2×10544544002 = 2223748163358720000, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1054454407) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22435177 + ... + 22435223.
It is an arithmetic number, because the mean of its divisors is an integer number (7193550).
Almost surely, 21054454400 is an apocalyptic number.
1054454400 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 1054454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071742400).
1054454400 is an abundant number, since it is smaller than the sum of its proper divisors (3089030400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1054454400 is a wasteful number, since it uses less digits than its factorization.
1054454400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 137 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 6400, while the sum is 27.
The square root of 1054454400 is about 32472.3636343276. The cubic root of 1054454400 is about 1017.8316103871.
Adding to 1054454400 its reverse (44544501), we get a palindrome (1098998901).
The spelling of 1054454400 in words is "one billion, fifty-four million, four hundred fifty-four thousand, four hundred".
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