Base | Representation |
---|---|
bin | 10001110111000… |
… | …11111100000000 |
3 | 101102221020002000 |
4 | 20323203330000 |
5 | 301324101144 |
6 | 22511224000 |
7 | 3466355211 |
oct | 1073437400 |
9 | 342836060 |
10 | 149831424 |
11 | 77637626 |
12 | 42218000 |
13 | 25070262 |
14 | 15c83408 |
15 | d249769 |
hex | 8ee3f00 |
149831424 has 144 divisors (see below), whose sum is σ = 452541600. Its totient is φ = 48881664.
The previous prime is 149831417. The next prime is 149831431. The reversal of 149831424 is 424138941.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (149831417) and next prime (149831431).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
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, 366132 + ... + 366540.
It is an arithmetic number, because the mean of its divisors is an integer number (3142650).
Almost surely, 2149831424 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 149831424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226270800).
149831424 is an abundant number, since it is smaller than the sum of its proper divisors (302710176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149831424 is an equidigital number, since it uses as much as digits as its factorization.
149831424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 487 (or 467 counting only the distinct ones).
The product of its digits is 27648, while the sum is 36.
The square root of 149831424 is about 12240.5646928563. The cubic root of 149831424 is about 531.1301669461.
The spelling of 149831424 in words is "one hundred forty-nine million, eight hundred thirty-one thousand, four hundred twenty-four".
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