Base | Representation |
---|---|
bin | 1100101101010… |
… | …00000000000000 |
3 | 21102120112220012 |
4 | 12112220000000 |
5 | 204242004204 |
6 | 14324404052 |
7 | 2433015365 |
oct | 626500000 |
9 | 242515805 |
10 | 106594304 |
11 | 55195973 |
12 | 2b846628 |
13 | 1911216b |
14 | 1022a46c |
15 | 955876e |
hex | 65a8000 |
106594304 has 32 divisors (see below), whose sum is σ = 213250890. Its totient is φ = 53280768.
The previous prime is 106594283. The next prime is 106594331. The reversal of 106594304 is 403495601.
It can be written as a sum of positive squares in only one way, i.e., 57032704 + 49561600 = 7552^2 + 7040^2 .
It is a tau number, because it is divible by the number of its divisors (32).
It is a super-2 number, since 2×1065943042 = 22724691290488832, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31142 + ... + 34394.
Almost surely, 2106594304 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106594304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106625445).
106594304 is an abundant number, since it is smaller than the sum of its proper divisors (106656586).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106594304 is an frugal number, since it uses more digits than its factorization.
106594304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3283 (or 3255 counting only the distinct ones).
The product of its (nonzero) digits is 12960, while the sum is 32.
The square root of 106594304 is about 10324.4517529988. The cubic root of 106594304 is about 474.1451720528.
The spelling of 106594304 in words is "one hundred six million, five hundred ninety-four thousand, three hundred four".
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