Base | Representation |
---|---|
bin | 10011110010011… |
… | …11100110000000 |
3 | 102120100201121002 |
4 | 21321033212000 |
5 | 314444013044 |
6 | 24245551132 |
7 | 4053662000 |
oct | 1171174600 |
9 | 376321532 |
10 | 166001024 |
11 | 85781032 |
12 | 477154a8 |
13 | 28512077 |
14 | 18092000 |
15 | e89074e |
hex | 9e4f980 |
166001024 has 128 divisors (see below), whose sum is σ = 408000000. Its totient is φ = 67060224.
The previous prime is 166001021. The next prime is 166001057. The reversal of 166001024 is 420100661.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a junction number, because it is equal to n+sod(n) for n = 166000987 and 166001005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (166001021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834077 + ... + 834275.
It is an arithmetic number, because the mean of its divisors is an integer number (3187500).
Almost surely, 2166001024 is an apocalyptic number.
166001024 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 166001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204000000).
166001024 is an abundant number, since it is smaller than the sum of its proper divisors (241998976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
166001024 is an equidigital number, since it uses as much as digits as its factorization.
166001024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 253 (or 227 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 20.
The square root of 166001024 is about 12884.1384655708. The cubic root of 166001024 is about 549.5875960806.
Adding to 166001024 its reverse (420100661), we get a palindrome (586101685).
The spelling of 166001024 in words is "one hundred sixty-six million, one thousand, twenty-four".
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