Base | Representation |
---|---|
bin | 10001101001001… |
… | …00110100100000 |
3 | 101022111011212200 |
4 | 20310210310200 |
5 | 300342000112 |
6 | 22404053200 |
7 | 3444656655 |
oct | 1064446440 |
9 | 338434780 |
10 | 148000032 |
11 | 765a6684 |
12 | 41694200 |
13 | 2487b7ab |
14 | 15927c2c |
15 | ced6cdc |
hex | 8d24d20 |
148000032 has 72 divisors (see below), whose sum is σ = 439193664. Its totient is φ = 47186304.
The previous prime is 148000031. The next prime is 148000043. The reversal of 148000032 is 230000841.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 147999969 and 148000014.
It is not an unprimeable number, because it can be changed into a prime (148000031) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4548 + ... + 17795.
It is an arithmetic number, because the mean of its divisors is an integer number (6099912).
Almost surely, 2148000032 is an apocalyptic number.
148000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
148000032 is an abundant number, since it is smaller than the sum of its proper divisors (291193632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148000032 is a wasteful number, since it uses less digits than its factorization.
148000032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22382 (or 22371 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 148000032 is about 12165.5263757883. The cubic root of 148000032 is about 528.9572853925.
Adding to 148000032 its reverse (230000841), we get a palindrome (378000873).
The spelling of 148000032 in words is "one hundred forty-eight million, thirty-two", and thus it is an aban number.
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