| Base | Representation |
|---|---|
| bin | 100000010101101… |
| … | …1111101010000000 |
| 3 | 2210121220000021200 |
| 4 | 1000223133222000 |
| 5 | 4210244044210 |
| 6 | 255402221200 |
| 7 | 35614366125 |
| oct | 10053375200 |
| 9 | 2717800250 |
| 10 | 1085143680 |
| 11 | 507598565 |
| 12 | 2634b4800 |
| 13 | 143a7b86a |
| 14 | a419274c |
| 15 | 653ee0c0 |
| hex | 40adfa80 |
1085143680 has 192 divisors, whose sum is σ = 3910533120. Its totient is φ = 276756480.
The previous prime is 1085143621. The next prime is 1085143681. The reversal of 1085143680 is 863415801.
1085143680 is a `hidden beast` number, since 108 + 514 + 36 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-3 number, since 3×10851436803 (a number of 28 digits) contains 333 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 (1085143681) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128385 + ... + 136575.
It is an arithmetic number, because the mean of its divisors is an integer number (20367360).
Almost surely, 21085143680 is an apocalyptic number.
1085143680 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 1085143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955266560).
1085143680 is an abundant number, since it is smaller than the sum of its proper divisors (2825389440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1085143680 is a wasteful number, since it uses less digits than its factorization.
1085143680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8239 (or 8224 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The square root of 1085143680 is about 32941.5190906552. The cubic root of 1085143680 is about 1027.6117980898.
The spelling of 1085143680 in words is "one billion, eighty-five million, one hundred forty-three thousand, six hundred eighty".
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