Base | Representation |
---|---|
bin | 1100101100010… |
… | …00000000000000 |
3 | 21102022220002200 |
4 | 12112020000000 |
5 | 204223310412 |
6 | 14321513200 |
7 | 2431631301 |
oct | 626100000 |
9 | 242286080 |
10 | 106463232 |
11 | 55106447 |
12 | 2b7a2800 |
13 | 190975c5 |
14 | 101d47a8 |
15 | 952e9dc |
hex | 6588000 |
106463232 has 144 divisors (see below), whose sum is σ = 324594855. Its totient is φ = 33619968.
The previous prime is 106463221. The next prime is 106463233. The reversal of 106463232 is 232364601.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
106463232 is a `hidden beast` number, since 10 + 646 + 3 + 2 + 3 + 2 = 666.
It can be written as a sum of positive squares in only one way, i.e., 53231616 + 53231616 = 7296^2 + 7296^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=7296.
It is a super-2 number, since 2×1064632322 = 22668839535771648, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 106463196 and 106463205.
It is not an unprimeable number, because it can be changed into a prime (106463233) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5603319 + ... + 5603337.
Almost surely, 2106463232 is an apocalyptic number.
106463232 is a gapful number since it is divisible by the number (12) 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 106463232
106463232 is an abundant number, since it is smaller than the sum of its proper divisors (218131623).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106463232 is an frugal number, since it uses more digits than its factorization.
106463232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 74 (or 24 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
The square root of 106463232 is about 10318.1021510741. The cubic root of 106463232 is about 473.9507506380.
The spelling of 106463232 in words is "one hundred six million, four hundred sixty-three thousand, two hundred thirty-two".
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