Base | Representation |
---|---|
bin | 101001101100… |
… | …111110000000 |
3 | 202120102000110 |
4 | 221230332000 |
5 | 10244311341 |
6 | 1030151320 |
7 | 161631000 |
oct | 51547600 |
9 | 22512013 |
10 | 10932096 |
11 | 619749a |
12 | 37b2540 |
13 | 2359bc6 |
14 | 1648000 |
15 | e5e216 |
hex | a6cf80 |
10932096 has 128 divisors (see below), whose sum is σ = 34272000. Its totient is φ = 3085824.
The previous prime is 10932073. The next prime is 10932109. The reversal of 10932096 is 69023901.
It is a tau number, because it is divible by the number of its divisors (128).
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 15 ways as a sum of consecutive naturals, for example, 131671 + ... + 131753.
It is an arithmetic number, because the mean of its divisors is an integer number (267750).
Almost surely, 210932096 is an apocalyptic number.
10932096 is a gapful number since it is divisible by the number (16) 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 10932096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136000).
10932096 is an abundant number, since it is smaller than the sum of its proper divisors (23339904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10932096 is an frugal number, since it uses more digits than its factorization.
10932096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 121 (or 95 counting only the distinct ones).
The product of its (nonzero) digits is 2916, while the sum is 30.
The square root of 10932096 is about 3306.3720298841. The cubic root of 10932096 is about 221.9394364457.
Adding to 10932096 its reverse (69023901), we get a palindrome (79955997).
The spelling of 10932096 in words is "ten million, nine hundred thirty-two thousand, ninety-six".
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