Base | Representation |
---|---|
bin | 100110100011… |
… | …111011000000 |
3 | 201000120101220 |
4 | 212203323000 |
5 | 10041433413 |
6 | 1000355040 |
7 | 151631106 |
oct | 46437300 |
9 | 21016356 |
10 | 10108608 |
11 | 5784824 |
12 | 3475a80 |
13 | 212c133 |
14 | 14b1c76 |
15 | d4a223 |
hex | 9a3ec0 |
10108608 has 112 divisors (see below), whose sum is σ = 29992320. Its totient is φ = 2985984.
The previous prime is 10108601. The next prime is 10108613. The reversal of 10108608 is 80680101.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (10108601) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61935 + ... + 62097.
Almost surely, 210108608 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 10108608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996160).
10108608 is an abundant number, since it is smaller than the sum of its proper divisors (19883712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10108608 is a wasteful number, since it uses less digits than its factorization.
10108608 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 214 (or 204 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 24.
The square root of 10108608 is about 3179.4037176804. The cubic root of 10108608 is about 216.2206250542.
Adding to 10108608 its reverse (80680101), we get a palindrome (90788709).
The spelling of 10108608 in words is "ten million, one hundred eight thousand, six hundred eight".
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