| Base | Representation |
|---|---|
| bin | 111111101010001… |
| … | …001000111100000 |
| 3 | 2202102122122001000 |
| 4 | 333222021013200 |
| 5 | 4141402341000 |
| 6 | 253551112000 |
| 7 | 35315644416 |
| oct | 7752110740 |
| 9 | 2672578030 |
| 10 | 1068012000 |
| 11 | 4a8957250 |
| 12 | 259812600 |
| 13 | 140360b83 |
| 14 | a1bb32b6 |
| 15 | 63b68000 |
| hex | 3fa891e0 |
1068012000 has 768 divisors, whose sum is σ = 4528742400. Its totient is φ = 241920000.
The previous prime is 1068011999. The next prime is 1068012007. The reversal of 1068012000 is 2108601.
1068012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10680120002 = 2281299264288000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1068012007) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34451985 + ... + 34452015.
It is an arithmetic number, because the mean of its divisors is an integer number (5896800).
Almost surely, 21068012000 is an apocalyptic number.
1068012000 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 1068012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).
1068012000 is an abundant number, since it is smaller than the sum of its proper divisors (3460730400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1068012000 is a wasteful number, since it uses less digits than its factorization.
1068012000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 105 (or 81 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 1068012000 is about 32680.4528732391. The cubic root of 1068012000 is about 1022.1752884003.
It can be divided in two parts, 106801 and 2000, that added together give a palindrome (108801).
The spelling of 1068012000 in words is "one billion, sixty-eight million, twelve thousand".
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