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66112560 = 2432591823
BaseRepresentation
bin1111110000110…
…0110000110000
311121101212101100
43330030300300
5113411100220
610321004400
71431642663
oct374146060
9147355340
1066112560
1134356388
121a183700
131090a277
148acd6da
155c0dd90
hex3f0cc30

66112560 has 60 divisors (see below), whose sum is σ = 222030432. Its totient is φ = 17629824.

The previous prime is 66112537. The next prime is 66112561. The reversal of 66112560 is 6521166.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (66112561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45192 + ... + 46631.

Almost surely, 266112560 is an apocalyptic number.

66112560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66112560 is an abundant number, since it is smaller than the sum of its proper divisors (155917872).

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

66112560 is a wasteful number, since it uses less digits than its factorization.

66112560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91842 (or 91833 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 66112560 is about 8130.9630425922. The cubic root of 66112560 is about 404.3536099551.

The spelling of 66112560 in words is "sixty-six million, one hundred twelve thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 91823 183646 275469 367292 459115 550938 734584 826407 918230 1101876 1377345 1469168 1652814 1836460 2203752 2754690 3305628 3672920 4132035 4407504 5509380 6611256 7345840 8264070 11018760 13222512 16528140 22037520 33056280 66112560