Search a number
-
+
641712240 = 243351322853
BaseRepresentation
bin100110001111111…
…100000001110000
31122201111100201000
4212033330001300
52303234242430
6143402042000
721621315111
oct4617740160
91581440630
10641712240
112aa2589a4
1215aaa9300
13a2c418b0
1461324208
153b50be60
hex263fc070

641712240 has 160 divisors (see below), whose sum is σ = 2380472640. Its totient is φ = 157953024.

The previous prime is 641712229. The next prime is 641712241. The reversal of 641712240 is 42217146.

641712240 is a `hidden beast` number, since 6 + 417 + 1 + 2 + 240 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641712241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16654 + ... + 39506.

It is an arithmetic number, because the mean of its divisors is an integer number (14877954).

Almost surely, 2641712240 is an apocalyptic number.

641712240 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 641712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190236320).

641712240 is an abundant number, since it is smaller than the sum of its proper divisors (1738760400).

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

641712240 is a wasteful number, since it uses less digits than its factorization.

641712240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22888 (or 22876 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 641712240 is about 25332.0397915367. The cubic root of 641712240 is about 862.5417144286.

Adding to 641712240 its reverse (42217146), we get a palindrome (683929386).

The spelling of 641712240 in words is "six hundred forty-one million, seven hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 22853 28080 45706 68559 91412 114265 137118 182824 205677 228530 274236 297089 342795 365648 411354 457060 548472 594178 617031 685590 822708 891267 914120 1028385 1096944 1188356 1234062 1371180 1485445 1645416 1782534 1828240 2056770 2376712 2468124 2673801 2742360 2970890 3085155 3290832 3565068 4113540 4456335 4753424 4936248 5347602 5484720 5941780 6170310 7130136 8021403 8227080 8912670 9872496 10695204 11883560 12340620 13369005 14260272 16042806 16454160 17825340 21390408 23767120 24681240 26738010 32085612 35650680 40107015 42780816 49362480 53476020 64171224 71301360 80214030 106952040 128342448 160428060 213904080 320856120 641712240