Search a number
-
+
6600320320 = 265111998689
BaseRepresentation
bin1100010010110100…
…01110010101000000
3122000222200000100011
412021122032111000
5102004140222240
63010535434304
7322363540246
oct61132162500
918028600304
106600320320
112887788390
121342525994
138125773a9
1446883a796
152896ba6ea
hex18968e540

6600320320 has 112 divisors (see below), whose sum is σ = 18048427200. Its totient is φ = 2273771520.

The previous prime is 6600320297. The next prime is 6600320333. The reversal of 6600320320 is 230230066.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 6600320291 and 6600320300.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 17536 + ... + 116224.

Almost surely, 26600320320 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 6600320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9024213600).

6600320320 is an abundant number, since it is smaller than the sum of its proper divisors (11448106880).

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

6600320320 is a wasteful number, since it uses less digits than its factorization.

6600320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98736 (or 98726 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 6600320320 is about 81242.3554557597. The cubic root of 6600320320 is about 1875.8078007868.

Adding to 6600320320 its reverse (230230066), we get a palindrome (6830550386).

The spelling of 6600320320 in words is "six billion, six hundred million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 152 160 176 190 209 220 304 320 352 380 418 440 608 704 760 836 880 1045 1216 1520 1672 1760 2090 3040 3344 3520 4180 6080 6688 8360 13376 16720 33440 66880 98689 197378 394756 493445 789512 986890 1085579 1579024 1875091 1973780 2171158 3158048 3750182 3947560 4342316 5427895 6316096 7500364 7895120 8684632 9375455 10855790 15000728 15790240 17369264 18750910 20626001 21711580 30001456 31580480 34738528 37501820 41252002 43423160 60002912 69477056 75003640 82504004 86846320 103130005 120005824 150007280 165008008 173692640 206260010 300014560 330016016 347385280 412520020 600029120 660032032 825040040 1320064064 1650080080 3300160160 6600320320