Base | Representation |
---|---|
bin | 100110100011… |
… | …010101100000 |
3 | 201000110010000 |
4 | 212203111200 |
5 | 10041344313 |
6 | 1000340000 |
7 | 151621110 |
oct | 46432540 |
9 | 21013100 |
10 | 10106208 |
11 | 5782a42 |
12 | 3474600 |
13 | 212b008 |
14 | 14b1040 |
15 | d49673 |
hex | 9a3560 |
10106208 has 120 divisors (see below), whose sum is σ = 34029072. Its totient is φ = 2882304.
The previous prime is 10106203. The next prime is 10106227. The reversal of 10106208 is 80260101.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10106203) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17866 + ... + 18422.
Almost surely, 210106208 is an apocalyptic number.
10106208 is a gapful number since it is divisible by the number (18) 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 10106208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014536).
10106208 is an abundant number, since it is smaller than the sum of its proper divisors (23922864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10106208 is an equidigital number, since it uses as much as digits as its factorization.
10106208 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 586 (or 569 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 10106208 is about 3179.0262660129. The cubic root of 10106208 is about 216.2035118977.
Adding to 10106208 its reverse (80260101), we get a palindrome (90366309).
The spelling of 10106208 in words is "ten million, one hundred six thousand, two hundred eight".
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