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66351420 = 223351929223
BaseRepresentation
bin1111110100011…
…1000100111100
311121212000001000
43331013010330
5113441221140
610330050300
71433656242
oct375070474
9147760030
1066351420
11344a9893
121a279990
1310991bc5
148b52792
155c59a30
hex3f4713c

66351420 has 192 divisors, whose sum is σ = 225792000. Its totient is φ = 16111872.

The previous prime is 66351413. The next prime is 66351431. The reversal of 66351420 is 2415366.

66351420 is a `hidden beast` number, since 6 + 635 + 1 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297429 + ... + 297651.

It is an arithmetic number, because the mean of its divisors is an integer number (1176000).

Almost surely, 266351420 is an apocalyptic number.

66351420 is a gapful number since it is divisible by the number (60) 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 66351420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896000).

66351420 is an abundant number, since it is smaller than the sum of its proper divisors (159440580).

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

66351420 is a wasteful number, since it uses less digits than its factorization.

66351420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 66351420 is about 8145.6380965520. The cubic root of 66351420 is about 404.8399916615.

Adding to 66351420 its reverse (2415366), we get a palindrome (68766786).

The spelling of 66351420 in words is "sixty-six million, three hundred fifty-one thousand, four hundred twenty".