Base | Representation |
---|---|
bin | 1100101100001… |
… | …11111111111000 |
3 | 21102022220002101 |
4 | 12112013333320 |
5 | 204223310344 |
6 | 14321513144 |
7 | 2431631260 |
oct | 626077770 |
9 | 242286071 |
10 | 106463224 |
11 | 5510643a |
12 | 2b7a27b4 |
13 | 190975ba |
14 | 101d47a0 |
15 | 952e9d4 |
hex | 6587ff8 |
106463224 has 64 divisors (see below), whose sum is σ = 236779200. Its totient is φ = 43929600.
The previous prime is 106463221. The next prime is 106463233. The reversal of 106463224 is 422364601.
It is a super-2 number, since 2×1064632242 = 22668836128948352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a junction number, because it is equal to n+sod(n) for n = 106463192 and 106463201.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106463221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204084 + ... + 204604.
It is an arithmetic number, because the mean of its divisors is an integer number (3699675).
Almost surely, 2106463224 is an apocalyptic number.
106463224 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 106463224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118389600).
106463224 is an abundant number, since it is smaller than the sum of its proper divisors (130315976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106463224 is a wasteful number, since it uses less digits than its factorization.
106463224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 664 (or 660 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 28.
The square root of 106463224 is about 10318.1017634059. The cubic root of 106463224 is about 473.9507387666.
The spelling of 106463224 in words is "one hundred six million, four hundred sixty-three thousand, two hundred twenty-four".
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