Base | Representation |
---|---|
bin | 11000001000111… |
… | …100111110010000 |
3 | 1001020002010122222 |
4 | 120020330332100 |
5 | 1312140000310 |
6 | 104104320212 |
7 | 13015305152 |
oct | 3010747620 |
9 | 1036063588 |
10 | 405000080 |
11 | 198680611 |
12 | b3773068 |
13 | 65ba2424 |
14 | 3bb06ad2 |
15 | 25850055 |
hex | 1823cf90 |
405000080 has 40 divisors (see below), whose sum is σ = 974100600. Its totient is φ = 156412928.
The previous prime is 405000053. The next prime is 405000137. The reversal of 405000080 is 80000504.
It can be written as a sum of positive squares in 4 ways, for example, as 46730896 + 358269184 = 6836^2 + 18928^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84965 + ... + 89604.
It is an arithmetic number, because the mean of its divisors is an integer number (24352515).
Almost surely, 2405000080 is an apocalyptic number.
405000080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
405000080 is an abundant number, since it is smaller than the sum of its proper divisors (569100520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
405000080 is a wasteful number, since it uses less digits than its factorization.
405000080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 174611 (or 174605 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 17.
The square root of 405000080 is about 20124.6137851140. The cubic root of 405000080 is about 739.8636710144.
Adding to 405000080 its reverse (80000504), we get a palindrome (485000584).
It can be divided in two parts, 4050000 and 80, that multiplied together give a square (324000000 = 180002).
The spelling of 405000080 in words is "four hundred five million, eighty", and thus it is an aban number.
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