Base | Representation |
---|---|
bin | 1001111000001… |
… | …0101111110000 |
3 | 2212221212021110 |
4 | 2132002233300 |
5 | 41101230000 |
6 | 4035553320 |
7 | 1012102113 |
oct | 236025760 |
9 | 85855243 |
10 | 41430000 |
11 | 21427a77 |
12 | 11a5b840 |
13 | 87776c1 |
14 | 570657a |
15 | 3985850 |
hex | 2782bf0 |
41430000 has 100 divisors (see below), whose sum is σ = 133838408. Its totient is φ = 11040000.
The previous prime is 41429987. The next prime is 41430007. The reversal of 41430000 is 3414.
41430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (100).
It is a super-3 number, since 3×414300003 (a number of 24 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41430007) by changing a digit.
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 19 ways as a sum of consecutive naturals, for example, 29310 + ... + 30690.
Almost surely, 241430000 is an apocalyptic number.
41430000 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 41430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66919204).
41430000 is an abundant number, since it is smaller than the sum of its proper divisors (92408408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41430000 is a wasteful number, since it uses less digits than its factorization.
41430000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1412 (or 1391 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 41430000 is about 6436.6140167016. The cubic root of 41430000 is about 346.0230084825.
Adding to 41430000 its reverse (3414), we get a palindrome (41433414).
The spelling of 41430000 in words is "forty-one million, four hundred thirty thousand".
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