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609000066 = 233103223491
BaseRepresentation
bin100100010011001…
…001101010000010
31120102221102001000
4210103021222002
52221401000231
6140232552430
721043262253
oct4423115202
91512842030
10609000066
11292845844
1214bb52716
139922a28c
145ac4ab2a
15386e96e6
hex244c9a82

609000066 has 64 divisors (see below), whose sum is σ = 1375395840. Its totient is φ = 199720080.

The previous prime is 609000037. The next prime is 609000071. The reversal of 609000066 is 660000906.

It is a super-3 number, since 3×6090000663 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1240081 + ... + 1240571.

It is an arithmetic number, because the mean of its divisors is an integer number (21490560).

Almost surely, 2609000066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 609000066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687697920).

609000066 is an abundant number, since it is smaller than the sum of its proper divisors (766395774).

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

609000066 is a wasteful number, since it uses less digits than its factorization.

609000066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 609000066 is about 24677.9266957336. The cubic root of 609000066 is about 847.6289474091.

The spelling of 609000066 in words is "six hundred nine million, sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 103 206 223 309 446 491 618 669 927 982 1338 1473 1854 2007 2781 2946 4014 4419 5562 6021 8838 12042 13257 22969 26514 45938 50573 68907 101146 109493 137814 151719 206721 218986 303438 328479 413442 455157 620163 656958 910314 985437 1240326 1365471 1970874 2730942 2956311 5912622 11277779 22555558 33833337 67666674 101500011 203000022 304500033 609000066