Base | Representation |
---|---|
bin | 111111111100110… |
… | …001010000010000 |
3 | 2202202211201020120 |
4 | 333330301100100 |
5 | 4144130114432 |
6 | 254243510240 |
7 | 35405312511 |
oct | 7774612020 |
9 | 2682751216 |
10 | 1072894992 |
11 | 500691984 |
12 | 25b388380 |
13 | 141380610 |
14 | a26c4a08 |
15 | 642cec2c |
hex | 3ff31410 |
1072894992 has 80 divisors (see below), whose sum is σ = 3012932160. Its totient is φ = 327015936.
The previous prime is 1072894969. The next prime is 1072894993. The reversal of 1072894992 is 2994982701.
1072894992 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 2×10728949922 = 2302207327717360128, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1072894993) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58734 + ... + 74802.
It is an arithmetic number, because the mean of its divisors is an integer number (37661652).
Almost surely, 21072894992 is an apocalyptic number.
1072894992 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 1072894992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506466080).
1072894992 is an abundant number, since it is smaller than the sum of its proper divisors (1940037168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1072894992 is a wasteful number, since it uses less digits than its factorization.
1072894992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16200 (or 16194 counting only the distinct ones).
The product of its (nonzero) digits is 653184, while the sum is 51.
The square root of 1072894992 is about 32755.0758203977. The cubic root of 1072894992 is about 1023.7307285556.
The spelling of 1072894992 in words is "one billion, seventy-two million, eight hundred ninety-four thousand, nine hundred ninety-two".
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