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290060064 = 25327143879
BaseRepresentation
bin10001010010011…
…111011100100000
3202012210120121100
4101102133130200
51043223410224
644440554400
710121320110
oct2122373440
9665716540
10290060064
11139805468
1281182a00
134812a698
142a747040
151a6e8ac9
hex1149f720

290060064 has 72 divisors (see below), whose sum is σ = 942701760. Its totient is φ = 82873728.

The previous prime is 290060053. The next prime is 290060081. The reversal of 290060064 is 460060092.

290060064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 69924 + ... + 73955.

It is an arithmetic number, because the mean of its divisors is an integer number (13093080).

Almost surely, 2290060064 is an apocalyptic number.

290060064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

290060064 is an abundant number, since it is smaller than the sum of its proper divisors (652641696).

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

290060064 is a wasteful number, since it uses less digits than its factorization.

290060064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143902 (or 143891 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 290060064 is about 17031.1498143842. The cubic root of 290060064 is about 661.9562893469.

The spelling of 290060064 in words is "two hundred ninety million, sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 143879 287758 431637 575516 863274 1007153 1151032 1294911 1726548 2014306 2302064 2589822 3021459 3453096 4028612 4604128 5179644 6042918 6906192 8057224 9064377 10359288 12085836 13812384 16114448 18128754 20718576 24171672 32228896 36257508 41437152 48343344 72515016 96686688 145030032 290060064