Search a number
-
+
443140040 = 235719312687
BaseRepresentation
bin11010011010011…
…100011111001000
31010212211211212002
4122122130133020
51401420440130
6111550010132
713660425320
oct3232343710
91125754762
10443140040
11208160742
121044a6948
1370a67455
1442bd4280
1528d85b45
hex1a69c7c8

443140040 has 128 divisors (see below), whose sum is σ = 1238630400. Its totient is φ = 139242240.

The previous prime is 443140001. The next prime is 443140043. The reversal of 443140040 is 40041344.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 443139994 and 443140021.

It is not an unprimeable number, because it can be changed into a prime (443140043) 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, 163577 + ... + 166263.

It is an arithmetic number, because the mean of its divisors is an integer number (9676800).

Almost surely, 2443140040 is an apocalyptic number.

443140040 is a gapful number since it is divisible by the number (40) 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 443140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619315200).

443140040 is an abundant number, since it is smaller than the sum of its proper divisors (795490360).

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

443140040 is a wasteful number, since it uses less digits than its factorization.

443140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 443140040 is about 21050.8916675755. The cubic root of 443140040 is about 762.3955116161.

Adding to 443140040 its reverse (40041344), we get a palindrome (483181384).

The spelling of 443140040 in words is "four hundred forty-three million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 31 35 38 40 56 62 70 76 95 124 133 140 152 155 190 217 248 266 280 310 380 434 532 589 620 665 760 868 1064 1085 1178 1240 1330 1736 2170 2356 2660 2687 2945 4123 4340 4712 5320 5374 5890 8246 8680 10748 11780 13435 16492 18809 20615 21496 23560 26870 32984 37618 41230 51053 53740 75236 82460 83297 94045 102106 107480 150472 164920 166594 188090 204212 255265 333188 357371 376180 408424 416485 510530 583079 666376 714742 752360 832970 1021060 1166158 1429484 1582643 1665940 1786855 2042120 2332316 2858968 2915395 3165286 3331880 3573710 4664632 5830790 6330572 7147420 7913215 11078501 11661580 12661144 14294840 15826430 22157002 23323160 31652860 44314004 55392505 63305720 88628008 110785010 221570020 443140040