Base | Representation |
---|---|
bin | 1000100101010… |
… | …1001010100100 |
3 | 2111202000021220 |
4 | 2021111022210 |
5 | 33204003140 |
6 | 3323340340 |
7 | 614666331 |
oct | 211251244 |
9 | 74660256 |
10 | 36000420 |
11 | 19359715 |
12 | 100816b0 |
13 | 75c6231 |
14 | 4ad1988 |
15 | 3261bd0 |
hex | 22552a4 |
36000420 has 48 divisors (see below), whose sum is σ = 102029760. Its totient is φ = 9483136.
The previous prime is 36000413. The next prime is 36000439. The reversal of 36000420 is 2400063.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 36000420.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366 + ... + 8594.
It is an arithmetic number, because the mean of its divisors is an integer number (2125620).
Almost surely, 236000420 is an apocalyptic number.
36000420 is a gapful number since it is divisible by the number (30) 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 36000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51014880).
36000420 is an abundant number, since it is smaller than the sum of its proper divisors (66029340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36000420 is a wasteful number, since it uses less digits than its factorization.
36000420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7324 (or 7322 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 36000420 is about 6000.0349998979. The cubic root of 36000420 is about 330.1940089673.
Adding to 36000420 its reverse (2400063), we get a palindrome (38400483).
The spelling of 36000420 in words is "thirty-six million, four hundred twenty", and thus it is an aban number.
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