Search a number
-
+
66300840 = 23325434283
BaseRepresentation
bin1111110011101…
…0101110101000
311121202102122200
43330322232220
5113433111330
610325020200
71433355624
oct374725650
9147672580
1066300840
1134474891
121a254660
1310974b88
148b3c184
155c49a60
hex3f3aba8

66300840 has 96 divisors (see below), whose sum is σ = 220540320. Its totient is φ = 17265024.

The previous prime is 66300821. The next prime is 66300841. The reversal of 66300840 is 4800366.

It is not an unprimeable number, because it can be changed into a prime (66300841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13339 + ... + 17621.

It is an arithmetic number, because the mean of its divisors is an integer number (2297295).

Almost surely, 266300840 is an apocalyptic number.

66300840 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 66300840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110270160).

66300840 is an abundant number, since it is smaller than the sum of its proper divisors (154239480).

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

66300840 is a wasteful number, since it uses less digits than its factorization.

66300840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4343 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66300840 is about 8142.5327754944. The cubic root of 66300840 is about 404.7370950334.

The spelling of 66300840 in words is "sixty-six million, three hundred thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 4283 5160 7740 8566 12849 15480 17132 21415 25698 34264 38547 42830 51396 64245 77094 85660 102792 128490 154188 171320 184169 192735 256980 308376 368338 385470 513960 552507 736676 770940 920845 1105014 1473352 1541880 1657521 1841690 2210028 2762535 3315042 3683380 4420056 5525070 6630084 7366760 8287605 11050140 13260168 16575210 22100280 33150420 66300840