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66030800 = 24521143349
BaseRepresentation
bin1111101111100…
…0110011010000
311121020201020012
43323320303100
5113400441200
610315134052
71431152423
oct373706320
9147221205
1066030800
11342aaa10
121a144328
13108abca4
148aab9ba
155be4a35
hex3ef8cd0

66030800 has 120 divisors (see below), whose sum is σ = 177592800. Its totient is φ = 23385600.

The previous prime is 66030799. The next prime is 66030823. The reversal of 66030800 is 803066.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189026 + ... + 189374.

It is an arithmetic number, because the mean of its divisors is an integer number (1479940).

Almost surely, 266030800 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 66030800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88796400).

66030800 is an abundant number, since it is smaller than the sum of its proper divisors (111562000).

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

66030800 is a wasteful number, since it uses less digits than its factorization.

66030800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 66030800 is about 8125.9337924943. The cubic root of 66030800 is about 404.1868560196.

Adding to 66030800 its reverse (803066), we get a palindrome (66833866).

The spelling of 66030800 in words is "sixty-six million, thirty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 43 44 50 55 80 86 88 100 110 172 176 200 215 220 275 344 349 400 430 440 473 550 688 698 860 880 946 1075 1100 1396 1720 1745 1892 2150 2200 2365 2792 3440 3490 3784 3839 4300 4400 4730 5584 6980 7568 7678 8600 8725 9460 11825 13960 15007 15356 17200 17450 18920 19195 23650 27920 30014 30712 34900 37840 38390 47300 60028 61424 69800 75035 76780 94600 95975 120056 139600 150070 153560 165077 189200 191950 240112 300140 307120 330154 375175 383900 600280 660308 750350 767800 825385 1200560 1320616 1500700 1535600 1650770 2641232 3001400 3301540 4126925 6002800 6603080 8253850 13206160 16507700 33015400 66030800