Search a number
-
+
8680075140 = 22351119692191
BaseRepresentation
bin10000001010101111…
…10110111110000100
3211101221002111121110
420011113312332010
5120234044401030
63553152045020
7425046264342
oct100527667604
924357074543
108680075140
113754748a20
121822b33770
13a843c7349
145c4b36992
1535c0841b0
hex2055f6f84

8680075140 has 96 divisors (see below), whose sum is σ = 27909181440. Its totient is φ = 1993507200.

The previous prime is 8680075139. The next prime is 8680075193. The reversal of 8680075140 is 415700868.

8680075140 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333556 + ... + 358635.

It is an arithmetic number, because the mean of its divisors is an integer number (290720640).

Almost surely, 28680075140 is an apocalyptic number.

It is an amenable number.

8680075140 is an abundant number, since it is smaller than the sum of its proper divisors (19229106300).

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

8680075140 is a wasteful number, since it uses less digits than its factorization.

8680075140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692233 (or 692231 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 8680075140 is about 93166.9208464034. The cubic root of 8680075140 is about 2055.1388140967.

The spelling of 8680075140 in words is "eight billion, six hundred eighty million, seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 692191 1384382 2076573 2768764 3460955 4153146 6921910 7614101 8306292 10382865 13151629 13843820 15228202 20765730 22842303 26303258 30456404 38070505 39454887 41531460 45684606 52606516 65758145 76141010 78909774 91369212 114211515 131516290 144667919 152282020 157819548 197274435 228423030 263032580 289335838 394548870 434003757 456846060 578671676 723339595 789097740 868007514 1446679190 1736015028 2170018785 2893358380 4340037570 8680075140