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66628560 = 2435733803
BaseRepresentation
bin1111111000101…
…0101111010000
311122101002012110
43332022233100
5114024103220
610340025320
71436222235
oct376125720
9148332173
1066628560
1134679029
121a392240
1310a5b0ab
148bc578c
155cb1be0
hex3f8abd0

66628560 has 80 divisors (see below), whose sum is σ = 209433024. Its totient is φ = 17519616.

The previous prime is 66628553. The next prime is 66628571. The reversal of 66628560 is 6582666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15619 + ... + 19421.

Almost surely, 266628560 is an apocalyptic number.

66628560 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 66628560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104716512).

66628560 is an abundant number, since it is smaller than the sum of its proper divisors (142804464).

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

66628560 is a wasteful number, since it uses less digits than its factorization.

66628560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 66628560 is about 8162.6319284897. The cubic root of 66628560 is about 405.4028608321.

The spelling of 66628560 in words is "sixty-six million, six hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 3803 4380 5840 7606 8760 11409 15212 17520 19015 22818 30424 38030 45636 57045 60848 76060 91272 114090 152120 182544 228180 277619 304240 456360 555238 832857 912720 1110476 1388095 1665714 2220952 2776190 3331428 4164285 4441904 5552380 6662856 8328570 11104760 13325712 16657140 22209520 33314280 66628560