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66308940 = 22325389947
BaseRepresentation
bin1111110011110…
…0101101001100
311121202211202200
43330330231030
5113433341230
610325121500
71433421345
oct374745514
9147684680
1066308940
113447a985
121a259290
1310978779
148b410cc
155c4c160
hex3f3cb4c

66308940 has 72 divisors (see below), whose sum is σ = 201867120. Its totient is φ = 17618304.

The previous prime is 66308927. The next prime is 66308941. The reversal of 66308940 is 4980366.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66308895 and 66308904.

It is not an unprimeable number, because it can be changed into a prime (66308941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69547 + ... + 70493.

It is an arithmetic number, because the mean of its divisors is an integer number (2803710).

Almost surely, 266308940 is an apocalyptic number.

66308940 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 66308940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100933560).

66308940 is an abundant number, since it is smaller than the sum of its proper divisors (135558180).

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

66308940 is a wasteful number, since it uses less digits than its factorization.

66308940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66308940 is about 8143.0301485381. The cubic root of 66308940 is about 404.7535766595.

The spelling of 66308940 in words is "sixty-six million, three hundred eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 389 778 947 1167 1556 1894 1945 2334 2841 3501 3788 3890 4668 4735 5682 5835 7002 7780 8523 9470 11364 11670 14004 14205 17046 17505 18940 23340 28410 34092 35010 42615 56820 70020 85230 170460 368383 736766 1105149 1473532 1841915 2210298 3315447 3683830 4420596 5525745 6630894 7367660 11051490 13261788 16577235 22102980 33154470 66308940