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66625320 = 23354711813
BaseRepresentation
bin1111111000100…
…1111100101000
311122100220202110
43332021330220
5114024002240
610340002320
71436206626
oct376117450
9148326673
1066625320
1134676653
121a3903a0
1310a59788
148bc4516
155cb0c80
hex3f89f28

66625320 has 64 divisors (see below), whose sum is σ = 204145920. Its totient is φ = 17387264.

The previous prime is 66625309. The next prime is 66625327. The reversal of 66625320 is 2352666.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (66625327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267 + ... + 11546.

It is an arithmetic number, because the mean of its divisors is an integer number (3189780).

Almost surely, 266625320 is an apocalyptic number.

66625320 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 66625320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102072960).

66625320 is an abundant number, since it is smaller than the sum of its proper divisors (137520600).

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

66625320 is a wasteful number, since it uses less digits than its factorization.

66625320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11874 (or 11870 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 66625320 is about 8162.4334606783. The cubic root of 66625320 is about 405.3962894431.

Adding to 66625320 its reverse (2352666), we get a palindrome (68977986).

The spelling of 66625320 in words is "sixty-six million, six hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 11813 23626 35439 47252 59065 70878 94504 118130 141756 177195 236260 283512 354390 472520 555211 708780 1110422 1417560 1665633 2220844 2776055 3331266 4441688 5552110 6662532 8328165 11104220 13325064 16656330 22208440 33312660 66625320