Base | Representation |
---|---|
bin | 1100101100110… |
… | …00101000010000 |
3 | 21102110100112100 |
4 | 12112120220100 |
5 | 204233000334 |
6 | 14323200400 |
7 | 2432334003 |
oct | 626305020 |
9 | 242410470 |
10 | 106531344 |
11 | 55152637 |
12 | 2b816100 |
13 | 190bc5ca |
14 | 1021153a |
15 | 9544c99 |
hex | 6598a10 |
106531344 has 60 divisors (see below), whose sum is σ = 303217200. Its totient is φ = 34905792.
The previous prime is 106531343. The next prime is 106531349. The reversal of 106531344 is 443135601.
106531344 is a `hidden beast` number, since 1 + 0 + 653 + 1 + 3 + 4 + 4 = 666.
It is a super-2 number, since 2×1065313442 = 22697854508892672, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (106531343) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2227 + ... + 14765.
It is an arithmetic number, because the mean of its divisors is an integer number (5053620).
Almost surely, 2106531344 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 106531344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151608600).
106531344 is an abundant number, since it is smaller than the sum of its proper divisors (196685856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106531344 is a wasteful number, since it uses less digits than its factorization.
106531344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12612 (or 12603 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 106531344 is about 10321.4022303174. The cubic root of 106531344 is about 474.0518022752.
Adding to 106531344 its reverse (443135601), we get a palindrome (549666945).
The spelling of 106531344 in words is "one hundred six million, five hundred thirty-one thousand, three hundred forty-four".
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