Base | Representation |
---|---|
bin | 1100101100110… |
… | …00110010010010 |
3 | 21102110101102010 |
4 | 12112120302102 |
5 | 204233010421 |
6 | 14323203350 |
7 | 2432335611 |
oct | 626306222 |
9 | 242411363 |
10 | 106531986 |
11 | 55153070 |
12 | 2b816556 |
13 | 190bc9a2 |
14 | 10211878 |
15 | 9545076 |
hex | 6598c92 |
106531986 has 64 divisors (see below), whose sum is σ = 241698816. Its totient is φ = 31022400.
The previous prime is 106531949. The next prime is 106531987. The reversal of 106531986 is 689135601.
It is a super-2 number, since 2×1065319862 = 22698128082208392, which contains 22 as substring.
It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.
It is not an unprimeable number, because it can be changed into a prime (106531987) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188941 + ... + 189503.
It is an arithmetic number, because the mean of its divisors is an integer number (3776544).
Almost surely, 2106531986 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106531986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120849408).
106531986 is an abundant number, since it is smaller than the sum of its proper divisors (135166830).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106531986 is a wasteful number, since it uses less digits than its factorization.
106531986 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 687.
The product of its (nonzero) digits is 38880, while the sum is 39.
The square root of 106531986 is about 10321.4333306959. The cubic root of 106531986 is about 474.0527545478.
The spelling of 106531986 in words is "one hundred six million, five hundred thirty-one thousand, nine hundred eighty-six".
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