Search a number
-
+
440422020 = 2232559113367
BaseRepresentation
bin11010010000000…
…100111010000100
31010200201202102200
4122100010322010
51400222001040
6111411434500
713625345133
oct3220047204
91120652380
10440422020
11206674645
121035b5a30
137032525c
14426c791a
15289ea630
hex1a404e84

440422020 has 144 divisors (see below), whose sum is σ = 1374347520. Its totient is φ = 114121728.

The previous prime is 440422019. The next prime is 440422049. The reversal of 440422020 is 20224044.

440422020 is a `hidden beast` number, since 440 + 4 + 220 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 440421984 and 440422002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1199877 + ... + 1200243.

It is an arithmetic number, because the mean of its divisors is an integer number (9544080).

Almost surely, 2440422020 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 440422020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687173760).

440422020 is an abundant number, since it is smaller than the sum of its proper divisors (933925500).

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

440422020 is a wasteful number, since it uses less digits than its factorization.

440422020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 440422020 is about 20986.2340594972. The cubic root of 440422020 is about 760.8335844489.

Adding to 440422020 its reverse (20224044), we get a palindrome (460646064).

The spelling of 440422020 in words is "four hundred forty million, four hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 113 118 177 180 226 236 295 339 354 367 452 531 565 590 678 708 734 885 1017 1062 1101 1130 1180 1356 1468 1695 1770 1835 2034 2124 2202 2260 2655 3303 3390 3540 3670 4068 4404 5085 5310 5505 6606 6667 6780 7340 10170 10620 11010 13212 13334 16515 20001 20340 21653 22020 26668 33030 33335 40002 41471 43306 60003 64959 66060 66670 80004 82942 86612 100005 108265 120006 124413 129918 133340 165884 194877 200010 207355 216530 240012 248826 259836 300015 324795 373239 389754 400020 414710 433060 497652 600030 622065 649590 746478 779508 829420 974385 1200060 1244130 1299180 1492956 1866195 1948770 2446789 2488260 3732390 3897540 4893578 7340367 7464780 9787156 12233945 14680734 22021101 24467890 29361468 36701835 44042202 48935780 73403670 88084404 110105505 146807340 220211010 440422020