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41218120 = 235412613
BaseRepresentation
bin1001110100111…
…1000001001000
32212120002122001
42131033001020
541022434440
64031240344
71010230306
oct235170110
985502561
1041218120
11212a2869
12119790b4
138702128
14568d276
153942b9a
hex274f048

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".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 613 820 1226 1640 1681 2452 3065 3362 4904 6130 6724 8405 12260 13448 16810 24520 25133 33620 50266 67240 100532 125665 201064 251330 502660 1005320 1030453 2060906 4121812 5152265 8243624 10304530 20609060 41218120