Base | Representation |
---|---|
bin | 1001100100101… |
… | …10010101000000 |
3 | 12121010001012121 |
4 | 10302112111000 |
5 | 131024320040 |
6 | 11545134024 |
7 | 1663413466 |
oct | 462262500 |
9 | 177101177 |
10 | 80307520 |
11 | 41371257 |
12 | 22a8a314 |
13 | 1383a357 |
14 | a946836 |
15 | 70b4c4a |
hex | 4c96540 |
80307520 has 56 divisors (see below), whose sum is σ = 195928488. Its totient is φ = 31334400.
The previous prime is 80307511. The next prime is 80307523. The reversal of 80307520 is 2570308.
80307520 is nontrivially palindromic in base 3.
It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 77721856 = 1608^2 + 8816^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (80307523) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10060 + ... + 16180.
It is an arithmetic number, because the mean of its divisors is an integer number (3498723).
Almost surely, 280307520 is an apocalyptic number.
80307520 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 80307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97964244).
80307520 is an abundant number, since it is smaller than the sum of its proper divisors (115620968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
80307520 is a wasteful number, since it uses less digits than its factorization.
80307520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6179 (or 6169 counting only the distinct ones).
The product of its (nonzero) digits is 1680, while the sum is 25.
The square root of 80307520 is about 8961.4463118405. The cubic root of 80307520 is about 431.4383418732.
Adding to 80307520 its reverse (2570308), we get a palindrome (82877828).
It can be divided in two parts, 80 and 307520, that multiplied together give a square (24601600 = 49602).
The spelling of 80307520 in words is "eighty million, three hundred seven thousand, five hundred twenty".
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