Base | Representation |
---|---|
bin | 10001100110011… |
… | …10101010000000 |
3 | 101021211020202021 |
4 | 20303032222000 |
5 | 300244201404 |
6 | 22352331224 |
7 | 3441660013 |
oct | 1063165200 |
9 | 337736667 |
10 | 147647104 |
11 | 76385500 |
12 | 41543b14 |
13 | 24786c67 |
14 | 1587537a |
15 | ce67454 |
hex | 8ccea80 |
147647104 has 48 divisors (see below), whose sum is σ = 323345610. Its totient is φ = 67105280.
The previous prime is 147647041. The next prime is 147647113. The reversal of 147647104 is 401746741.
147647104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 141134400 + 6512704 = 11880^2 + 2552^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 147647104.
It is an unprimeable number.
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 5 ways as a sum of consecutive naturals, for example, 10722 + ... + 20254.
Almost surely, 2147647104 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 147647104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161672805).
147647104 is an abundant number, since it is smaller than the sum of its proper divisors (175698506).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
147647104 is an equidigital number, since it uses as much as digits as its factorization.
147647104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9569 (or 9546 counting only the distinct ones).
The product of its (nonzero) digits is 18816, while the sum is 34.
The square root of 147647104 is about 12151.0124681032. The cubic root of 147647104 is about 528.5364917324.
The spelling of 147647104 in words is "one hundred forty-seven million, six hundred forty-seven thousand, one hundred four".
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