Base | Representation |
---|---|
bin | 1100101010011… |
… | …11010001000000 |
3 | 21101220002022212 |
4 | 12111033101000 |
5 | 204143341343 |
6 | 14312521252 |
7 | 2426642633 |
oct | 625172100 |
9 | 241802285 |
10 | 106230848 |
11 | 54a67899 |
12 | 2b6b0228 |
13 | 190158b9 |
14 | 10173c1a |
15 | 94d5c18 |
hex | 654f440 |
106230848 has 56 divisors (see below), whose sum is σ = 218965272. Its totient is φ = 51093504.
The previous prime is 106230847. The next prime is 106230851. The reversal of 106230848 is 848032601.
It can be written as a sum of positive squares in 4 ways, for example, as 14684224 + 91546624 = 3832^2 + 9568^2 .
It is a super-2 number, since 2×1062308482 = 22569986133598208, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106230847) 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 7 ways as a sum of consecutive naturals, for example, 267386 + ... + 267782.
Almost surely, 2106230848 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 106230848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109482636).
106230848 is an abundant number, since it is smaller than the sum of its proper divisors (112734424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106230848 is a wasteful number, since it uses less digits than its factorization.
106230848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 559 (or 549 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 32.
The square root of 106230848 is about 10306.8350137178. The cubic root of 106230848 is about 473.6056587162.
The spelling of 106230848 in words is "one hundred six million, two hundred thirty thousand, eight hundred forty-eight".
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