| Base | Representation |
|---|---|
| bin | 111110111110000… |
| … | …110010010100000 |
| 3 | 2201121221001000100 |
| 4 | 332332012102200 |
| 5 | 4130423403310 |
| 6 | 252455422400 |
| 7 | 35115546015 |
| oct | 7676062240 |
| 9 | 2647831010 |
| 10 | 1056466080 |
| 11 | 4a239066a |
| 12 | 255984a00 |
| 13 | 13ab4a777 |
| 14 | a044970c |
| 15 | 62b36ec0 |
| hex | 3ef864a0 |
1056466080 has 144 divisors (see below), whose sum is σ = 3615210144. Its totient is φ = 280942080.
The previous prime is 1056466009. The next prime is 1056466087. The reversal of 1056466080 is 806646501.
1056466080 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 46 + 608 + 0 = 666.
1056466080 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 (144).
It is a super-2 number, since 2×10564660802 = 2232241156381132800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (1056466087) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671695 + ... + 673265.
It is an arithmetic number, because the mean of its divisors is an integer number (25105626).
Almost surely, 21056466080 is an apocalyptic number.
1056466080 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 1056466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807605072).
1056466080 is an abundant number, since it is smaller than the sum of its proper divisors (2558744064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1056466080 is a wasteful number, since it uses less digits than its factorization.
1056466080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2059 (or 2048 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 1056466080 is about 32503.3241376940. The cubic root of 1056466080 is about 1018.4784696448.
The spelling of 1056466080 in words is "one billion, fifty-six million, four hundred sixty-six thousand, eighty".
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