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10808128 = 26971741
BaseRepresentation
bin101001001110…
…101101000000
3202100002222001
4221032231000
510231330003
61023353344
7160603402
oct51165500
922302861
1010808128
116112341
123752854
132315656
141614b72
15e3761d
hexa4eb40

10808128 has 28 divisors (see below), whose sum is σ = 21680932. Its totient is φ = 5345280.

The previous prime is 10808123. The next prime is 10808129. The reversal of 10808128 is 82180801.

It can be written as a sum of positive squares in 2 ways, for example, as 1517824 + 9290304 = 1232^2 + 3048^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10808096 and 10808105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10808123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5338 + ... + 7078.

It is an arithmetic number, because the mean of its divisors is an integer number (774319).

Almost surely, 210808128 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 10808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10840466).

10808128 is an abundant number, since it is smaller than the sum of its proper divisors (10872804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10808128 is an equidigital number, since it uses as much as digits as its factorization.

10808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 10808128 is about 3287.5717482665. The cubic root of 10808128 is about 221.0973275098.

Adding to 10808128 its reverse (82180801), we get a palindrome (92988929).

The spelling of 10808128 in words is "ten million, eight hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 1741 3104 3482 6208 6964 13928 27856 55712 111424 168877 337754 675508 1351016 2702032 5404064 10808128