Base | Representation |
---|---|
bin | 100110100110… |
… | …010010100000 |
3 | 201001001201000 |
4 | 212212102200 |
5 | 10042241204 |
6 | 1000512000 |
7 | 152001300 |
oct | 46462240 |
9 | 21031630 |
10 | 10118304 |
11 | 5791039 |
12 | 347b600 |
13 | 2133681 |
14 | 14b5600 |
15 | d4d039 |
hex | 9a64a0 |
10118304 has 144 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 2878848.
The previous prime is 10118299. The next prime is 10118377. The reversal of 10118304 is 40381101.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42217 + ... + 42455.
It is an arithmetic number, because the mean of its divisors is an integer number (239400).
Almost surely, 210118304 is an apocalyptic number.
10118304 is a gapful number since it is divisible by the number (14) 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 10118304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).
10118304 is an abundant number, since it is smaller than the sum of its proper divisors (24355296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10118304 is a wasteful number, since it uses less digits than its factorization.
10118304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 272 (or 251 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 10118304 is about 3180.9281664319. The cubic root of 10118304 is about 216.2897346434.
Adding to 10118304 its reverse (40381101), we get a palindrome (50499405).
The spelling of 10118304 in words is "ten million, one hundred eighteen thousand, three hundred four".
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