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66334020 = 22352967569
BaseRepresentation
bin1111110100001…
…0110101000100
311121211010011120
43331002311010
5113440142040
610325433540
71433554434
oct375026504
9147733146
1066334020
1134497805
121a26b8b0
1310986ccc
148b4a2c4
155c547d0
hex3f42d44

66334020 has 96 divisors (see below), whose sum is σ = 195350400. Its totient is φ = 16794624.

The previous prime is 66334019. The next prime is 66334039. The reversal of 66334020 is 2043366.

66334020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 116296 + ... + 116864.

It is an arithmetic number, because the mean of its divisors is an integer number (2034900).

Almost surely, 266334020 is an apocalyptic number.

66334020 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 66334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97675200).

66334020 is an abundant number, since it is smaller than the sum of its proper divisors (129016380).

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

66334020 is a wasteful number, since it uses less digits than its factorization.

66334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 66334020 is about 8144.5699702317. The cubic root of 66334020 is about 404.8046001472.

Adding to 66334020 its reverse (2043366), we get a palindrome (68377386).

The spelling of 66334020 in words is "sixty-six million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 67 87 116 134 145 174 201 268 290 335 348 402 435 569 580 670 804 870 1005 1138 1340 1707 1740 1943 2010 2276 2845 3414 3886 4020 5690 5829 6828 7772 8535 9715 11380 11658 16501 17070 19430 23316 29145 33002 34140 38123 38860 49503 58290 66004 76246 82505 99006 114369 116580 152492 165010 190615 198012 228738 247515 330020 381230 457476 495030 571845 762460 990060 1105567 1143690 2211134 2287380 3316701 4422268 5527835 6633402 11055670 13266804 16583505 22111340 33167010 66334020