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666280000 = 265416657
BaseRepresentation
bin100111101101101…
…010000001000000
31201102201112100001
4213231222001000
52331031430000
6150040405344
722340200201
oct4755520100
91642645301
10666280000
11312109031
12167176854
13a8064129
14646bb5a8
153d76146a
hex27b6a040

666280000 has 70 divisors (see below), whose sum is σ = 1652257046. Its totient is φ = 266496000.

The previous prime is 666279989. The next prime is 666280001. The reversal of 666280000 is 82666.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 63872064 + 602407936 = 7992^2 + 24544^2 .

It is not an unprimeable number, because it can be changed into a prime (666280001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31672 + ... + 48328.

Almost surely, 2666280000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826128523).

666280000 is an abundant number, since it is smaller than the sum of its proper divisors (985977046).

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

666280000 is an equidigital number, since it uses as much as digits as its factorization.

666280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16689 (or 16664 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 666280000 is about 25812.4001208721. The cubic root of 666280000 is about 873.4115398501.

The spelling of 666280000 in words is "six hundred sixty-six million, two hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 16657 20000 33314 40000 66628 83285 133256 166570 266512 333140 416425 533024 666280 832850 1066048 1332560 1665700 2082125 2665120 3331400 4164250 5330240 6662800 8328500 10410625 13325600 16657000 20821250 26651200 33314000 41642500 66628000 83285000 133256000 166570000 333140000 666280000