Base | Representation |
---|---|
bin | 111111110001101… |
… | …001110111000000 |
3 | 2202120100200011101 |
4 | 333301221313000 |
5 | 4142403343440 |
6 | 254101224144 |
7 | 35341455325 |
oct | 7761516700 |
9 | 2676320141 |
10 | 1069981120 |
11 | 4a9a8171a |
12 | 25a402054 |
13 | 1408a0230 |
14 | a2166b4c |
15 | 63e0669a |
hex | 3fc69dc0 |
1069981120 has 112 divisors (see below), whose sum is σ = 2832738048. Its totient is φ = 382279680.
The previous prime is 1069981117. The next prime is 1069981127. The reversal of 1069981120 is 211899601.
It is a super-2 number, since 2×10699811202 = 2289719194312908800, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 1069981120.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1069981127) 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 15 ways as a sum of consecutive naturals, for example, 124812 + ... + 133108.
It is an arithmetic number, because the mean of its divisors is an integer number (25292304).
Almost surely, 21069981120 is an apocalyptic number.
1069981120 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 1069981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416369024).
1069981120 is an abundant number, since it is smaller than the sum of its proper divisors (1762756928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1069981120 is a wasteful number, since it uses less digits than its factorization.
1069981120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8358 (or 8348 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 37.
The square root of 1069981120 is about 32710.5658770985. The cubic root of 1069981120 is about 1022.8031059598.
It can be divided in two parts, 10699 and 81120, that added together give a palindrome (91819).
The spelling of 1069981120 in words is "one billion, sixty-nine million, nine hundred eighty-one thousand, one hundred twenty".
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