Base | Representation |
---|---|
bin | 1001110100111… |
… | …1000001001000 |
3 | 2212120002122001 |
4 | 2131033001020 |
5 | 41022434440 |
6 | 4031240344 |
7 | 1010230306 |
oct | 235170110 |
9 | 85502561 |
10 | 41218120 |
11 | 212a2869 |
12 | 119790b4 |
13 | 8702128 |
14 | 568d276 |
15 | 3942b9a |
hex | 274f048 |
41218120 has 48 divisors (see below), whose sum is σ = 95212980. Its totient is φ = 16058880.
The previous prime is 41218109. The next prime is 41218129. The reversal of 41218120 is 2181214.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 1855044 + 39363076 = 1362^2 + 6274^2 .
It is not an unprimeable number, because it can be changed into a prime (41218129) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 66934 + ... + 67546.
Almost surely, 241218120 is an apocalyptic number.
41218120 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 41218120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47606490).
41218120 is an abundant number, since it is smaller than the sum of its proper divisors (53994860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41218120 is a wasteful number, since it uses less digits than its factorization.
41218120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 706 (or 661 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 19.
The square root of 41218120 is about 6420.1339549888. The cubic root of 41218120 is about 345.4321267244.
Adding to 41218120 its reverse (2181214), we get a palindrome (43399334).
The spelling of 41218120 in words is "forty-one million, two hundred eighteen thousand, one hundred twenty".
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