| Base | Representation |
|---|---|
| bin | 111110110110111… |
| … | …001000000000000 |
| 3 | 2201111101001012002 |
| 4 | 332312321000000 |
| 5 | 4124432423030 |
| 6 | 252351123132 |
| 7 | 35063516315 |
| oct | 7666710000 |
| 9 | 2644331162 |
| 10 | 1054576640 |
| 11 | 4a1310047 |
| 12 | 2552134a8 |
| 13 | 13a638760 |
| 14 | a00b6d0c |
| 15 | 628b2245 |
| hex | 3edb9000 |
1054576640 has 208 divisors, whose sum is σ = 2898041328. Its totient is φ = 364904448.
The previous prime is 1054576639. The next prime is 1054576661. The reversal of 1054576640 is 466754501.
It can be written as a sum of positive squares in 8 ways, for example, as 79138816 + 975437824 = 8896^2 + 31232^2 .
It is a tau number, because it is divible by the number of its divisors (208).
It is a super-2 number, since 2×10545766402 = 2224263779267379200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1054576594 and 1054576603.
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, 4525964 + ... + 4526196.
It is an arithmetic number, because the mean of its divisors is an integer number (13932891).
Almost surely, 21054576640 is an apocalyptic number.
1054576640 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 1054576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449020664).
1054576640 is an abundant number, since it is smaller than the sum of its proper divisors (1843464688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1054576640 is a wasteful number, since it uses less digits than its factorization.
1054576640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 292 (or 270 counting only the distinct ones).
The product of its (nonzero) digits is 100800, while the sum is 38.
The square root of 1054576640 is about 32474.2457957071. The cubic root of 1054576640 is about 1017.8709403409.
The spelling of 1054576640 in words is "one billion, fifty-four million, five hundred seventy-six thousand, six hundred forty".
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