Base | Representation |
---|---|
bin | 11000100100000… |
… | …111001111000000 |
3 | 1001201110212100201 |
4 | 120210013033000 |
5 | 1321000320000 |
6 | 104521054544 |
7 | 13132651015 |
oct | 3044071700 |
9 | 1051425321 |
10 | 412120000 |
11 | 1a16a3946 |
12 | b6027454 |
13 | 674c60b6 |
14 | 3ca3b70c |
15 | 262a996a |
hex | 189073c0 |
412120000 has 70 divisors (see below), whose sum is σ = 1022022848. Its totient is φ = 164832000.
The previous prime is 412119991. The next prime is 412120021. The reversal of 412120000 is 21214.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is an unprimeable number.
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 9 ways as a sum of consecutive naturals, for example, 34849 + ... + 45151.
Almost surely, 2412120000 is an apocalyptic number.
412120000 is a gapful number since it is divisible by the number (40) 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 412120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511011424).
412120000 is an abundant number, since it is smaller than the sum of its proper divisors (609902848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
412120000 is an equidigital number, since it uses as much as digits as its factorization.
412120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10335 (or 10310 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 412120000 is about 20300.7389028084. The cubic root of 412120000 is about 744.1741219625.
Adding to 412120000 its reverse (21214), we get a palindrome (412141214).
The spelling of 412120000 in words is "four hundred twelve million, one hundred twenty thousand".
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