Base | Representation |
---|---|
bin | 100111101001… |
… | …111010100000 |
3 | 201120010122222 |
4 | 213221322200 |
5 | 10130122141 |
6 | 1010450212 |
7 | 154233662 |
oct | 47517240 |
9 | 21503588 |
10 | 10395296 |
11 | 596015a |
12 | 3593968 |
13 | 21cc782 |
14 | 1548532 |
15 | da514b |
hex | 9e9ea0 |
10395296 has 48 divisors (see below), whose sum is σ = 22004136. Its totient is φ = 4816896.
The previous prime is 10395277. The next prime is 10395317. The reversal of 10395296 is 69259301.
10395296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 10368400 + 26896 = 3220^2 + 164^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52670 + ... + 52866.
Almost surely, 210395296 is an apocalyptic number.
10395296 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 10395296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11002068).
10395296 is an abundant number, since it is smaller than the sum of its proper divisors (11608840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10395296 is a wasteful number, since it uses less digits than its factorization.
10395296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 321 (or 313 counting only the distinct ones).
The product of its (nonzero) digits is 14580, while the sum is 35.
The square root of 10395296 is about 3224.1736925916. The cubic root of 10395296 is about 218.2456619561.
The spelling of 10395296 in words is "ten million, three hundred ninety-five thousand, two hundred ninety-six".
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