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66067080 = 23351095051
BaseRepresentation
bin1111110000000…
…1101010001000
311121022112222220
43330001222020
5113403121310
610320014040
71431363252
oct374015210
9147275886
1066067080
11343251a2
121a161320
13108c2661
148abacd2
155c00670
hex3f01a88

66067080 has 64 divisors (see below), whose sum is σ = 200059200. Its totient is φ = 17452800.

The previous prime is 66067073. The next prime is 66067081. The reversal of 66067080 is 8076066.

It is not an unprimeable number, because it can be changed into a prime (66067081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10555 + ... + 15605.

It is an arithmetic number, because the mean of its divisors is an integer number (3125925).

Almost surely, 266067080 is an apocalyptic number.

66067080 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 66067080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100029600).

66067080 is an abundant number, since it is smaller than the sum of its proper divisors (133992120).

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

66067080 is a wasteful number, since it uses less digits than its factorization.

66067080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5174 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 66067080 is about 8128.1658447647. The cubic root of 66067080 is about 404.2608680176.

The spelling of 66067080 in words is "sixty-six million, sixty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 5051 6540 10102 13080 15153 20204 25255 30306 40408 50510 60612 75765 101020 121224 151530 202040 303060 550559 606120 1101118 1651677 2202236 2752795 3303354 4404472 5505590 6606708 8258385 11011180 13213416 16516770 22022360 33033540 66067080