Base | Representation |
---|---|
bin | 10001100010100… |
… | …01101010100100 |
3 | 101020212020110122 |
4 | 20301101222210 |
5 | 300131311030 |
6 | 22333341112 |
7 | 3434425265 |
oct | 1061215244 |
9 | 336766418 |
10 | 147135140 |
11 | 76065899 |
12 | 41337798 |
13 | 24637c19 |
14 | 1578096c |
15 | cdb58e5 |
hex | 8c51aa4 |
147135140 has 48 divisors (see below), whose sum is σ = 323568000. Its totient is φ = 56094720.
The previous prime is 147135137. The next prime is 147135143. The reversal of 147135140 is 41531741.
147135140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (147135137) and next prime (147135143).
It is not an unprimeable number, because it can be changed into a prime (147135143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229220 + ... + 229860.
It is an arithmetic number, because the mean of its divisors is an integer number (6741000).
Almost surely, 2147135140 is an apocalyptic number.
147135140 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 147135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161784000).
147135140 is an abundant number, since it is smaller than the sum of its proper divisors (176432860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
147135140 is a wasteful number, since it uses less digits than its factorization.
147135140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1172 (or 1170 counting only the distinct ones).
The product of its (nonzero) digits is 1680, while the sum is 26.
The square root of 147135140 is about 12129.9274523799. The cubic root of 147135140 is about 527.9248869657.
Adding to 147135140 its reverse (41531741), we get a palindrome (188666881).
The spelling of 147135140 in words is "one hundred forty-seven million, one hundred thirty-five thousand, one hundred forty".
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