Base | Representation |
---|---|
bin | 100110100011… |
… | …110001100000 |
3 | 201000112120101 |
4 | 212203301200 |
5 | 10041424000 |
6 | 1000352144 |
7 | 151626250 |
oct | 46436140 |
9 | 21015511 |
10 | 10108000 |
11 | 5784321 |
12 | 3475654 |
13 | 212ba86 |
14 | 14b1960 |
15 | d49e6a |
hex | 9a3c60 |
10108000 has 144 divisors (see below), whose sum is σ = 29955744. Its totient is φ = 3283200.
The previous prime is 10107991. The next prime is 10108003. The reversal of 10108000 is 80101.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10108003) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531991 + ... + 532009.
It is an arithmetic number, because the mean of its divisors is an integer number (208026).
Almost surely, 210108000 is an apocalyptic number.
10108000 is a gapful number since it is divisible by the number (10) 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 10108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).
10108000 is an abundant number, since it is smaller than the sum of its proper divisors (19847744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10108000 is an equidigital number, since it uses as much as digits as its factorization.
10108000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 70 (or 33 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
The square root of 10108000 is about 3179.3081008295. The cubic root of 10108000 is about 216.2162899775.
Adding to 10108000 its reverse (80101), we get a palindrome (10188101).
The spelling of 10108000 in words is "ten million, one hundred eight thousand".
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