Base | Representation |
---|---|
bin | 100000111101100100100 |
3 | 2000212121201 |
4 | 10013230210 |
5 | 234030400 |
6 | 35052244 |
7 | 12115660 |
oct | 4075444 |
9 | 2025551 |
10 | 1080100 |
11 | 67854a |
12 | 441084 |
13 | 2ba818 |
14 | 2018a0 |
15 | 16506a |
hex | 107b24 |
1080100 has 36 divisors (see below), whose sum is σ = 2680384. Its totient is φ = 370080.
The previous prime is 1080097. The next prime is 1080119. The reversal of 1080100 is 10801.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72 + ... + 1471.
21080100 is an apocalyptic number.
1080100 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 1080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340192).
1080100 is an abundant number, since it is smaller than the sum of its proper divisors (1600284).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1080100 is a wasteful number, since it uses less digits than its factorization.
1080100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1564 (or 1557 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
The square root of 1080100 is about 1039.2785959501. The cubic root of 1080100 is about 102.6017233250.
Adding to 1080100 its reverse (10801), we get a palindrome (1090901).
Multiplying 1080100 by its reverse (10801), we get a square (11666160100 = 1080102).
1080100 divided by its reverse (10801) gives a square (100 = 102).
The spelling of 1080100 in words is "one million, eighty thousand, one hundred".
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