Search a number
-
+
66071250 = 232547839
BaseRepresentation
bin1111110000001…
…0101011010010
311121022202201100
43330002223102
5113403240000
610320045230
71431411360
oct374025322
9147282640
1066071250
1134328343
121a163816
13108c451b
148abc630
155c01a00
hex3f02ad2

66071250 has 120 divisors (see below), whose sum is σ = 204684480. Its totient is φ = 15084000.

The previous prime is 66071191. The next prime is 66071267. The reversal of 66071250 is 5217066.

66071250 is a `hidden beast` number, since 6 + 607 + 1 + 2 + 50 = 666.

66071250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 59 ways as a sum of consecutive naturals, for example, 78331 + ... + 79169.

It is an arithmetic number, because the mean of its divisors is an integer number (1705704).

Almost surely, 266071250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66071250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102342240).

66071250 is an abundant number, since it is smaller than the sum of its proper divisors (138613230).

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

66071250 is a wasteful number, since it uses less digits than its factorization.

66071250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 66071250 is about 8128.4223561525. The cubic root of 66071250 is about 404.2693731730.

The spelling of 66071250 in words is "sixty-six million, seventy-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 125 126 150 175 210 225 250 315 350 375 450 525 625 630 750 839 875 1050 1125 1250 1575 1678 1750 1875 2250 2517 2625 3150 3750 4195 4375 5034 5250 5625 5873 7551 7875 8390 8750 11250 11746 12585 13125 15102 15750 17619 20975 25170 26250 29365 35238 37755 39375 41950 52857 58730 62925 75510 78750 88095 104875 105714 125850 146825 176190 188775 209750 264285 293650 314625 377550 440475 524375 528570 629250 734125 880950 943875 1048750 1321425 1468250 1573125 1887750 2202375 2642850 3146250 3670625 4404750 4719375 6607125 7341250 9438750 11011875 13214250 22023750 33035625 66071250