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66404420 = 22541471723
BaseRepresentation
bin1111110101010…
…0000001000100
311121221200201222
43331110001010
5113444420140
610331135512
71434266615
oct375240104
9147850658
1066404420
1134535695
121a2a4598
13109b0074
148b67c0c
155c6a5b5
hex3f54044

66404420 has 48 divisors (see below), whose sum is σ = 145974528. Its totient is φ = 25347840.

The previous prime is 66404419. The next prime is 66404423. The reversal of 66404420 is 2440466.

It is a self number, because there is not a number n which added to its sum of digits gives 66404420.

It is not an unprimeable number, because it can be changed into a prime (66404423) 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 15 ways as a sum of consecutive naturals, for example, 37679 + ... + 39401.

It is an arithmetic number, because the mean of its divisors is an integer number (3041136).

Almost surely, 266404420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72987264).

66404420 is an abundant number, since it is smaller than the sum of its proper divisors (79570108).

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

66404420 is a wasteful number, since it uses less digits than its factorization.

66404420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 66404420 is about 8148.8907220554. The cubic root of 66404420 is about 404.9477552889.

Adding to 66404420 its reverse (2440466), we get a palindrome (68844886).

The spelling of 66404420 in words is "sixty-six million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 47 82 94 164 188 205 235 410 470 820 940 1723 1927 3446 3854 6892 7708 8615 9635 17230 19270 34460 38540 70643 80981 141286 161962 282572 323924 353215 404905 706430 809810 1412860 1619620 3320221 6640442 13280884 16601105 33202210 66404420