Base | Representation |
---|---|
bin | 100100111011… |
… | …100011100000 |
3 | 200012212000000 |
4 | 210323203200 |
5 | 4434243440 |
6 | 543300000 |
7 | 145200561 |
oct | 44734340 |
9 | 20185000 |
10 | 9681120 |
11 | 5512629 |
12 | 32aa600 |
13 | 200c697 |
14 | 1400168 |
15 | cb3730 |
hex | 93b8e0 |
9681120 has 168 divisors, whose sum is σ = 34704936. Its totient is φ = 2550528.
The previous prime is 9681103. The next prime is 9681131. The reversal of 9681120 is 211869.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an Ulam number.
It is a nialpdrome in base 6.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116599 + ... + 116681.
It is an arithmetic number, because the mean of its divisors is an integer number (206577).
Almost surely, 29681120 is an apocalyptic number.
9681120 is a gapful number since it is divisible by the number (90) 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 9681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352468).
9681120 is an abundant number, since it is smaller than the sum of its proper divisors (25023816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9681120 is an equidigital number, since it uses as much as digits as its factorization.
9681120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116 (or 93 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 27.
The square root of 9681120 is about 3111.4498228318. The cubic root of 9681120 is about 213.1286665577.
Adding to 9681120 its reverse (211869), we get a palindrome (9892989).
It can be divided in two parts, 9681 and 120, that added together give a square (9801 = 992).
The spelling of 9681120 in words is "nine million, six hundred eighty-one thousand, one hundred twenty".
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