| Base | Representation |
|---|---|
| bin | 111111101011110… |
| … | …000111000110000 |
| 3 | 2202110110020002020 |
| 4 | 333223300320300 |
| 5 | 4142004441130 |
| 6 | 254004151440 |
| 7 | 35322364536 |
| oct | 7753607060 |
| 9 | 2673406066 |
| 10 | 1068437040 |
| 11 | 4a9117620 |
| 12 | 259998580 |
| 13 | 14047c488 |
| 14 | a1c84156 |
| 15 | 63bede10 |
| hex | 3faf0e30 |
1068437040 has 160 divisors (see below), whose sum is σ = 3701763072. Its totient is φ = 252672000.
The previous prime is 1068437033. The next prime is 1068437047. The reversal of 1068437040 is 407348601.
It is an interprime number because it is at equal distance from previous prime (1068437033) and next prime (1068437047).
It is a super-3 number, since 3×10684370403 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a junction number, because it is equal to n+sod(n) for n = 1068436992 and 1068437010.
It is not an unprimeable number, because it can be changed into a prime (1068437047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103305 + ... + 113175.
Almost surely, 21068437040 is an apocalyptic number.
1068437040 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 1068437040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850881536).
1068437040 is an abundant number, since it is smaller than the sum of its proper divisors (2633326032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1068437040 is a wasteful number, since it uses less digits than its factorization.
1068437040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9939 (or 9933 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 33.
The square root of 1068437040 is about 32686.9551962247. The cubic root of 1068437040 is about 1022.3108698239.
The spelling of 1068437040 in words is "one billion, sixty-eight million, four hundred thirty-seven thousand, forty".
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