Search a number
-
+
43722140 = 22571122989
BaseRepresentation
bin1010011011001…
…0010110011100
310001021022111112
42212302112130
542143102030
64201041152
71040426540
oct246622634
9101238445
1043722140
1122753100
12127861b8
13909aab7
145b41a20
153c89a95
hex29b259c

43722140 has 144 divisors (see below), whose sum is σ = 120657600. Its totient is φ = 13009920.

The previous prime is 43722139. The next prime is 43722187. The reversal of 43722140 is 4122734.

43722140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 491216 + ... + 491304.

It is an arithmetic number, because the mean of its divisors is an integer number (837900).

Almost surely, 243722140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43722140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60328800).

43722140 is an abundant number, since it is smaller than the sum of its proper divisors (76935460).

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

43722140 is a wasteful number, since it uses less digits than its factorization.

43722140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 43722140 is about 6612.2719242330. The cubic root of 43722140 is about 352.2901253905.

Adding to 43722140 its reverse (4122734), we get a palindrome (47844874).

The spelling of 43722140 in words is "forty-three million, seven hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 89 110 116 121 140 145 154 178 203 220 242 290 308 319 356 385 406 445 484 580 605 623 638 770 812 847 890 979 1015 1210 1246 1276 1540 1595 1694 1780 1958 2030 2233 2420 2492 2581 3115 3190 3388 3509 3916 4060 4235 4466 4895 5162 6230 6380 6853 7018 8470 8932 9790 10324 10769 11165 12460 12905 13706 14036 16940 17545 18067 19580 21538 22330 24563 25810 27412 28391 34265 35090 36134 43076 44660 49126 51620 53845 56782 68530 70180 72268 75383 90335 98252 107690 113564 122815 137060 141955 150766 180670 198737 215380 245630 283910 301532 312301 361340 376915 397474 491260 567820 624602 753830 794948 993685 1249204 1507660 1561505 1987370 2186107 3123010 3974740 4372214 6246020 8744428 10930535 21861070 43722140