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6850585140 = 2235723736247
BaseRepresentation
bin1100110000101001…
…11010001000110100
3122200102120210010120
412120110322020310
5103012222211030
63051435451540
7331523004300
oct63024721064
918612523116
106850585140
1129a5a82013
1213b22b6bb0
13852380499
1448db84d00
152a1653010
hex19853a234

6850585140 has 144 divisors (see below), whose sum is σ = 22376737152. Its totient is φ = 1561400064.

The previous prime is 6850585087. The next prime is 6850585141. The reversal of 6850585140 is 415850586.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6850585092 and 6850585101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6850585141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1093497 + ... + 1099743.

It is an arithmetic number, because the mean of its divisors is an integer number (155394008).

Almost surely, 26850585140 is an apocalyptic number.

6850585140 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 6850585140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11188368576).

6850585140 is an abundant number, since it is smaller than the sum of its proper divisors (15526152012).

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

6850585140 is a wasteful number, since it uses less digits than its factorization.

6850585140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The square root of 6850585140 is about 82768.2616707636. The cubic root of 6850585140 is about 1899.2226866517. Note that the first 3 decimals are identical.

The spelling of 6850585140 in words is "six billion, eight hundred fifty million, five hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 373 420 490 588 735 746 980 1119 1470 1492 1865 2238 2611 2940 3730 4476 5222 5595 6247 7460 7833 10444 11190 12494 13055 15666 18277 18741 22380 24988 26110 31235 31332 36554 37482 39165 43729 52220 54831 62470 73108 74964 78330 87458 91385 93705 109662 124940 131187 156660 174916 182770 187410 218645 219324 262374 274155 306103 365540 374820 437290 524748 548310 612206 655935 874580 918309 1096620 1224412 1311870 1530515 1836618 2330131 2623740 3061030 3673236 4591545 4660262 6122060 6990393 9183090 9320524 11650655 13980786 16310917 18366180 23301310 27961572 32621834 34951965 46602620 48932751 65243668 69903930 81554585 97865502 114176419 139807860 163109170 195731004 228352838 244663755 326218340 342529257 456705676 489327510 570882095 685058514 978655020 1141764190 1370117028 1712646285 2283528380 3425292570 6850585140