Search a number
-
+
6140643210 = 2345133715761
BaseRepresentation
bin1011011100000001…
…01100011110001010
3120211221200222220000
411232000230132022
5100034001040320
62453155143430
7305112414612
oct55600543612
916757628800
106140643210
112671262149
1212345a4b76
1376b26cac0
1442377da42
1525e169c90
hex16e02c78a

6140643210 has 160 divisors (see below), whose sum is σ = 18263366352. Its totient is φ = 1470597120.

The previous prime is 6140643191. The next prime is 6140643211. The reversal of 6140643210 is 123460416.

6140643210 is a `hidden beast` number, since 6 + 1 + 4 + 0 + 643 + 2 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3252763089 + 2887880121 = 57033^2 + 53739^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6140643211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 381730 + ... + 397490.

Almost surely, 26140643210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6140643210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9131683176).

6140643210 is an abundant number, since it is smaller than the sum of its proper divisors (12122723142).

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

6140643210 is a wasteful number, since it uses less digits than its factorization.

6140643210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15830 (or 15821 counting only the distinct ones).

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

The square root of 6140643210 is about 78362.2562845149. The cubic root of 6140643210 is about 1831.2091713029.

The spelling of 6140643210 in words is "six billion, one hundred forty million, six hundred forty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 37 39 45 54 65 74 78 81 90 111 117 130 135 162 185 195 222 234 270 333 351 370 390 405 481 555 585 666 702 810 962 999 1053 1110 1170 1443 1665 1755 1998 2106 2405 2886 2997 3330 3510 4329 4810 4995 5265 5994 7215 8658 9990 10530 12987 14430 14985 15761 21645 25974 29970 31522 38961 43290 47283 64935 77922 78805 94566 129870 141849 157610 194805 204893 236415 283698 389610 409786 425547 472830 583157 614679 709245 851094 1024465 1166314 1229358 1276641 1418490 1749471 1844037 2048930 2127735 2553282 2915785 3073395 3498942 3688074 4255470 5248413 5532111 5831570 6146790 6383205 7581041 8747355 9220185 10496826 11064222 12766410 15162082 15745239 16596333 17494710 18440370 22743123 26242065 27660555 31490478 33192666 37905205 45486246 47235717 52484130 55321110 68229369 75810410 78726195 82981665 94471434 113715615 136458738 157452390 165963330 204688107 227431230 236178585 341146845 409376214 472357170 614064321 682293690 1023440535 1228128642 2046881070 3070321605 6140643210