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66620112 = 24313241443
BaseRepresentation
bin1111111000100…
…0101011010000
311122100122121120
43332020223100
5114023320422
610335522240
71436155506
oct376105320
9148318546
1066620112
1134672749
121a389380
1310a572b0
148bc2676
155cae45c
hex3f88ad0

66620112 has 80 divisors (see below), whose sum is σ = 186529728. Its totient is φ = 20367360.

The previous prime is 66620087. The next prime is 66620117. The reversal of 66620112 is 21102666.

66620112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66620117) 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 15 ways as a sum of consecutive naturals, for example, 150163 + ... + 150605.

Almost surely, 266620112 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 66620112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93264864).

66620112 is an abundant number, since it is smaller than the sum of its proper divisors (119909616).

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

66620112 is a wasteful number, since it uses less digits than its factorization.

66620112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 66620112 is about 8162.1144319349. The cubic root of 66620112 is about 405.3857260972.

Adding to 66620112 its reverse (21102666), we get a palindrome (87722778).

The spelling of 66620112 in words is "sixty-six million, six hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 241 312 443 482 624 723 886 964 1329 1446 1772 1928 2658 2892 3133 3544 3856 5316 5759 5784 6266 7088 9399 10632 11518 11568 12532 17277 18798 21264 23036 25064 34554 37596 46072 50128 69108 75192 92144 106763 138216 150384 213526 276432 320289 427052 640578 854104 1281156 1387919 1708208 2562312 2775838 4163757 5124624 5551676 8327514 11103352 16655028 22206704 33310056 66620112