| Base | Representation |
|---|---|
| bin | 111111111000111… |
| … | …100001010000000 |
| 3 | 2202200221201010100 |
| 4 | 333320330022000 |
| 5 | 4143401003242 |
| 6 | 254210202400 |
| 7 | 35363631600 |
| oct | 7770741200 |
| 9 | 2680851110 |
| 10 | 1071891072 |
| 11 | 50006669a |
| 12 | 25ab83400 |
| 13 | 1410bb695 |
| 14 | a2502c00 |
| 15 | 6418254c |
| hex | 3fe3c280 |
1071891072 has 288 divisors, whose sum is σ = 3802530420. Its totient is φ = 287981568.
The previous prime is 1071891059. The next prime is 1071891077. The reversal of 1071891072 is 2701981701.
1071891072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 1051315776 + 20575296 = 32424^2 + 4536^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×10718910722 = 2297900940466618368, 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 (1071891077) 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, 959058 + ... + 960174.
Almost surely, 21071891072 is an apocalyptic number.
1071891072 is a gapful number since it is divisible by the number (12) 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 1071891072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901265210).
1071891072 is an abundant number, since it is smaller than the sum of its proper divisors (2730639348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1071891072 is a wasteful number, since it uses less digits than its factorization.
1071891072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1168 (or 1146 counting only the distinct ones).
The product of its (nonzero) digits is 7056, while the sum is 36.
The square root of 1071891072 is about 32739.7475860765. The cubic root of 1071891072 is about 1023.4113234306.
The spelling of 1071891072 in words is "one billion, seventy-one million, eight hundred ninety-one thousand, seventy-two".
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