Base | Representation |
---|---|
bin | 10011100010000… |
… | …00000000000000 |
3 | 102102021221020011 |
4 | 21301000000000 |
5 | 313420340000 |
6 | 24131354304 |
7 | 4026421432 |
oct | 1161000000 |
9 | 372257204 |
10 | 163840000 |
11 | 84535465 |
12 | 46a52994 |
13 | 27c3655c |
14 | 17a8c652 |
15 | e5b52ba |
hex | 9c40000 |
163840000 has 95 divisors (see below), whose sum is σ = 409468147. Its totient is φ = 65536000.
The previous prime is 163839967. The next prime is 163840007. The reversal of 163840000 is 48361.
The square root of 163840000 is 12800.
It is a perfect power (a square), and thus also a powerful number.
163840000 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 2 ways, for example, as 12845056 + 150994944 = 3584^2 + 12288^2 .
It is an ABA number since it can be written as A⋅BA, here for A=4, B=80.
It is a super-3 number, since 3×1638400003 (a number of 26 digits) contains 333 as substring.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (163840007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 32767998 + ... + 32768002.
Almost surely, 2163840000 is an apocalyptic number.
163840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
163840000 is the 12800-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 163840000
163840000 is an abundant number, since it is smaller than the sum of its proper divisors (245628147).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
163840000 is an frugal number, since it uses more digits than its factorization.
163840000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56 (or 7 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
The cubic root of 163840000 is about 547.1923029365.
Multiplying 163840000 by its product of nonzero digits (576), we get a square (94371840000 = 3072002).
Adding to 163840000 its reverse (48361), we get a palindrome (163888361).
The spelling of 163840000 in words is "one hundred sixty-three million, eight hundred forty thousand".
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