Base | Representation |
---|---|
bin | 1001100101101… |
… | …00101110000000 |
3 | 12121100100221222 |
4 | 10302310232000 |
5 | 131042311000 |
6 | 11551534212 |
7 | 1664442425 |
oct | 462645600 |
9 | 177310858 |
10 | 80432000 |
11 | 41446830 |
12 | 22b2a368 |
13 | 13881bcc |
14 | a979d4c |
15 | 70dba85 |
hex | 4cb4b80 |
80432000 has 128 divisors (see below), whose sum is σ = 218630880. Its totient is φ = 29184000.
The previous prime is 80431999. The next prime is 80432003. The reversal of 80432000 is 23408.
It is a tau number, because it is divible by the number of its divisors (128).
It is a self number, because there is not a number n which added to its sum of digits gives 80432000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (80432003) 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, 175772 + ... + 176228.
Almost surely, 280432000 is an apocalyptic number.
80432000 is a gapful number since it is divisible by the number (80) 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 80432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109315440).
80432000 is an abundant number, since it is smaller than the sum of its proper divisors (138198880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
80432000 is a wasteful number, since it uses less digits than its factorization.
80432000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 497 (or 475 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 17.
The square root of 80432000 is about 8968.3889300141. The cubic root of 80432000 is about 431.6611425943.
Adding to 80432000 its reverse (23408), we get a palindrome (80455408).
The spelling of 80432000 in words is "eighty million, four hundred thirty-two thousand".
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