Base | Representation |
---|---|
bin | 10001100110011… |
… | …10111000101000 |
3 | 101021211022000221 |
4 | 20303032320220 |
5 | 300244214130 |
6 | 22352335424 |
7 | 3441662521 |
oct | 1063167050 |
9 | 337738027 |
10 | 147648040 |
11 | 76386181 |
12 | 41544574 |
13 | 24787507 |
14 | 15875848 |
15 | ce6787a |
hex | 8ccee28 |
147648040 has 96 divisors (see below), whose sum is σ = 360339840. Its totient is φ = 54341760.
The previous prime is 147648029. The next prime is 147648049. The reversal of 147648040 is 40846741.
147648040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 147647987 and 147648005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (147648049) 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 23 ways as a sum of consecutive naturals, for example, 884037 + ... + 884203.
It is an arithmetic number, because the mean of its divisors is an integer number (3753540).
Almost surely, 2147648040 is an apocalyptic number.
147648040 is a gapful number since it is divisible by the number (10) 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 147648040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180169920).
147648040 is an abundant number, since it is smaller than the sum of its proper divisors (212691800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
147648040 is a wasteful number, since it uses less digits than its factorization.
147648040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 263 (or 228 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 34.
The square root of 147648040 is about 12151.0509833512. The cubic root of 147648040 is about 528.5376086052.
The spelling of 147648040 in words is "one hundred forty-seven million, six hundred forty-eight thousand, forty".
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