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666666 = 2327111337
BaseRepresentation
bin10100010110000101010
31020212111100
42202300222
5132313131
622142230
75444430
oct2426052
91225440
10666666
11415970
12281976
131a45a0
14134d50
15d27e6
hexa2c2a

666666 has 96 divisors (see below), whose sum is σ = 1991808. Its totient is φ = 155520.

The previous prime is 666649. The next prime is 666667.

666666 is nontrivially palindromic in base 10 and base 16.

It is a nude number because it is divisible by every one of its digits.

666666 is a modest number, since divided by 6666 gives 66 as remainder.

666666 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10.

It is a nialpdrome in base 7 and base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 666666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18000 + ... + 18036.

It is an arithmetic number, because the mean of its divisors is an integer number (20748).

It is a self-describing number.

2666666 is an apocalyptic number.

666666 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 666666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995904).

666666 is an abundant number, since it is smaller than the sum of its proper divisors (1325142).

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

666666 is a wasteful number, since it uses less digits than its factorization.

666666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 73 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 666666 is about 816.4961726793. The cubic root of 666666 is about 87.3580173543.

The spelling of 666666 in words is "six hundred sixty-six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 37 39 42 63 66 74 77 78 91 99 111 117 126 143 154 182 198 222 231 234 259 273 286 333 407 429 462 481 518 546 666 693 777 814 819 858 962 1001 1221 1287 1386 1443 1554 1638 2002 2331 2442 2574 2849 2886 3003 3367 3663 4329 4662 5291 5698 6006 6734 7326 8547 8658 9009 10101 10582 15873 17094 18018 20202 25641 30303 31746 37037 47619 51282 60606 74074 95238 111111 222222 333333 666666