Search a number
-
+
442010140 = 2251113374177
BaseRepresentation
bin11010010110001…
…000101000011100
31010210201102220221
4122112020220130
51401123311030
6111505451124
713645011205
oct3226105034
91123642827
10442010140
11207559840
12104040aa4
1370760080
14429bc5ac
1528c10e7a
hex1a588a1c

442010140 has 96 divisors (see below), whose sum is σ = 1120238784. Its totient is φ = 144322560.

The previous prime is 442010119. The next prime is 442010143. The reversal of 442010140 is 41010244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442010143) 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, 103732 + ... + 107908.

It is an arithmetic number, because the mean of its divisors is an integer number (11669154).

Almost surely, 2442010140 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 442010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560119392).

442010140 is an abundant number, since it is smaller than the sum of its proper divisors (678228644).

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

442010140 is a wasteful number, since it uses less digits than its factorization.

442010140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 442010140 is about 21024.0371955531. The cubic root of 442010140 is about 761.7469853442.

Adding to 442010140 its reverse (41010244), we get a palindrome (483020384).

The spelling of 442010140 in words is "four hundred forty-two million, ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 37 44 52 55 65 74 110 130 143 148 185 220 260 286 370 407 481 572 715 740 814 962 1430 1628 1924 2035 2405 2860 4070 4177 4810 5291 8140 8354 9620 10582 16708 20885 21164 26455 41770 45947 52910 54301 83540 91894 105820 108602 154549 183788 217204 229735 271505 309098 459470 543010 597311 618196 772745 918940 1086020 1194622 1545490 1700039 2009137 2389244 2986555 3090980 3400078 4018274 5973110 6800156 8036548 8500195 10045685 11946220 17000390 20091370 22100507 34000780 40182740 44201014 88402028 110502535 221005070 442010140