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41006320 = 245512579
BaseRepresentation
bin1001110001101…
…1010011110000
32212011100002121
42130123103300
540444200240
64022524024
71005355645
oct234332360
985140077
1041006320
1121168723
1211896614
1386598c4
145635dcc
15390004a
hex271b4f0

41006320 has 20 divisors (see below), whose sum is σ = 95339880. Its totient is φ = 16402496.

The previous prime is 41006291. The next prime is 41006321. The reversal of 41006320 is 2360014.

41006320 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 (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 41006294 and 41006303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41006321) 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 3 ways as a sum of consecutive naturals, for example, 256210 + ... + 256369.

It is an arithmetic number, because the mean of its divisors is an integer number (4766994).

Almost surely, 241006320 is an apocalyptic number.

41006320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41006320 is an abundant number, since it is smaller than the sum of its proper divisors (54333560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41006320 is a wasteful number, since it uses less digits than its factorization.

41006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512592 (or 512586 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 41006320 is about 6403.6177275037. The cubic root of 41006320 is about 344.8394407971.

Adding to 41006320 its reverse (2360014), we get a palindrome (43366334).

The spelling of 41006320 in words is "forty-one million, six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 512579 1025158 2050316 2562895 4100632 5125790 8201264 10251580 20503160 41006320