Base | Representation |
---|---|
bin | 100110111010… |
… | …111001001000 |
3 | 201012100110122 |
4 | 212322321020 |
5 | 10102441241 |
6 | 1002402412 |
7 | 152502320 |
oct | 46727110 |
9 | 21170418 |
10 | 10202696 |
11 | 5839489 |
12 | 3500408 |
13 | 2162bca |
14 | 14d8280 |
15 | d6804b |
hex | 9bae48 |
10202696 has 64 divisors (see below), whose sum is σ = 23654400. Its totient is φ = 4027968.
The previous prime is 10202681. The next prime is 10202701. The reversal of 10202696 is 69620201.
10202696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 10202696 = 503 + 2163 = 1673 + 1773.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45641 + ... + 45863.
It is an arithmetic number, because the mean of its divisors is an integer number (369600).
Almost surely, 210202696 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 10202696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11827200).
10202696 is an abundant number, since it is smaller than the sum of its proper divisors (13451704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10202696 is a wasteful number, since it uses less digits than its factorization.
10202696 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 298 (or 294 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 26.
The square root of 10202696 is about 3194.1659318201. The cubic root of 10202696 is about 216.8893941065.
Adding to 10202696 its reverse (69620201), we get a palindrome (79822897).
The spelling of 10202696 in words is "ten million, two hundred two thousand, six hundred ninety-six".
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