Base | Representation |
---|---|
bin | 11111111101010… |
… | …011011000000000 |
3 | 1101100212221112000 |
4 | 133331103120000 |
5 | 2044224220330 |
6 | 125111504000 |
7 | 16200213612 |
oct | 3775233000 |
9 | 1340787460 |
10 | 536163840 |
11 | 255717913 |
12 | 12b688000 |
13 | 87107814 |
14 | 512cadb2 |
15 | 3210d560 |
hex | 1ff53600 |
536163840 has 160 divisors (see below), whose sum is σ = 1904744160. Its totient is φ = 142958592.
The previous prime is 536163829. The next prime is 536163841. The reversal of 536163840 is 48361635.
536163840 is a `hidden beast` number, since 5 + 3 + 616 + 38 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-3 number, since 3×5361638403 (a number of 27 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 536163795 and 536163804.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (536163841) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65242 + ... + 72998.
It is an arithmetic number, because the mean of its divisors is an integer number (11904651).
Almost surely, 2536163840 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 536163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952372080).
536163840 is an abundant number, since it is smaller than the sum of its proper divisors (1368580320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
536163840 is an equidigital number, since it uses as much as digits as its factorization.
536163840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7789 (or 7767 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 536163840 is about 23155.2119402954. The cubic root of 536163840 is about 812.3923783292.
The spelling of 536163840 in words is "five hundred thirty-six million, one hundred sixty-three thousand, eight hundred forty".
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