Search a number
-
+
6666000 = 2435311101
BaseRepresentation
bin11001011011011100010000
3110112200000220
4121123130100
53201303000
6354513040
7110442255
oct31333420
913480026
106666000
1138432a0
122295780
1314c51a3
14c5742c
158ba1a0
hex65b710

6666000 has 160 divisors (see below), whose sum is σ = 23677056. Its totient is φ = 1600000.

The previous prime is 6665987. The next prime is 6666001. The reversal of 6666000 is 6666.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (6666001) by changing a digit.

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, 65950 + ... + 66050.

Almost surely, 26666000 is an apocalyptic number.

6666000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11838528).

6666000 is an abundant number, since it is smaller than the sum of its proper divisors (17011056).

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

6666000 is a wasteful number, since it uses less digits than its factorization.

6666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 6666000 is about 2581.8597947991. The cubic root of 6666000 is about 188.2009319935.

6666000 divided by its reverse (6666) gives a cube (1000 = 103).

It can be divided in two parts, 666 and 6000, that added together give a palindrome (6666).

The spelling of 6666000 in words is "six million, six hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 101 110 120 125 132 150 165 176 200 202 220 240 250 264 275 300 303 330 375 400 404 440 500 505 528 550 600 606 660 750 808 825 880 1000 1010 1100 1111 1200 1212 1320 1375 1500 1515 1616 1650 2000 2020 2200 2222 2424 2525 2640 2750 3000 3030 3300 3333 4040 4125 4400 4444 4848 5050 5500 5555 6000 6060 6600 6666 7575 8080 8250 8888 10100 11000 11110 12120 12625 13200 13332 15150 16500 16665 17776 20200 22000 22220 24240 25250 26664 27775 30300 33000 33330 37875 40400 44440 50500 53328 55550 60600 66000 66660 75750 83325 88880 101000 111100 121200 133320 138875 151500 166650 202000 222200 266640 277750 303000 333300 416625 444400 555500 606000 666600 833250 1111000 1333200 1666500 2222000 3333000 6666000