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66298560 = 263569061
BaseRepresentation
bin1111110011101…
…0001011000000
311121202022112020
43330322023000
5113433023220
610325001440
71433346156
oct374721300
9147668466
1066298560
11344730a9
121a253280
1310973b23
148b3b3d6
155c49040
hex3f3a2c0

66298560 has 56 divisors (see below), whose sum is σ = 210500976. Its totient is φ = 17679360.

The previous prime is 66298549. The next prime is 66298567. The reversal of 66298560 is 6589266.

66298560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66298567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33571 + ... + 35490.

It is an arithmetic number, because the mean of its divisors is an integer number (3758946).

Almost surely, 266298560 is an apocalyptic number.

66298560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66298560 is an abundant number, since it is smaller than the sum of its proper divisors (144202416).

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

66298560 is a wasteful number, since it uses less digits than its factorization.

66298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69081 (or 69071 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 66298560 is about 8142.3927687136. The cubic root of 66298560 is about 404.7324555188.

The spelling of 66298560 in words is "sixty-six million, two hundred ninety-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 69061 138122 207183 276244 345305 414366 552488 690610 828732 1035915 1104976 1381220 1657464 2071830 2209952 2762440 3314928 4143660 4419904 5524880 6629856 8287320 11049760 13259712 16574640 22099520 33149280 66298560