Search a number
-
+
20443020240 = 24351511573593
BaseRepresentation
bin10011000010011111…
…111011101111010000
31221202201011000202210
4103002133323233100
5313331403121430
613220312512120
71322411543046
oct230237735720
957681130683
1020443020240
118740608755
123b663ab640
131c0a3cc6a6
14dbd088396
157e9acb2b0
hex4c27fbbd0

20443020240 has 160 divisors (see below), whose sum is σ = 64217246976. Its totient is φ = 5379379200.

The previous prime is 20443020233. The next prime is 20443020259. The reversal of 20443020240 is 4202034402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5687884 + ... + 5691476.

Almost surely, 220443020240 is an apocalyptic number.

20443020240 is a gapful number since it is divisible by the number (20) 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 20443020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32108623488).

20443020240 is an abundant number, since it is smaller than the sum of its proper divisors (43774226736).

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

20443020240 is a wasteful number, since it uses less digits than its factorization.

20443020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 20443020240 its reverse (4202034402), we get a palindrome (24645054642).

The spelling of 20443020240 in words is "twenty billion, four hundred forty-three million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 157 240 302 314 453 471 604 628 755 785 906 942 1208 1256 1510 1570 1812 1884 2265 2355 2416 2512 3020 3140 3593 3624 3768 4530 4710 6040 6280 7186 7248 7536 9060 9420 10779 12080 12560 14372 17965 18120 18840 21558 23707 28744 35930 36240 37680 43116 47414 53895 57488 71121 71860 86232 94828 107790 118535 142242 143720 172464 189656 215580 237070 284484 287440 355605 379312 431160 474140 542543 564101 568968 711210 862320 948280 1085086 1128202 1137936 1422420 1627629 1692303 1896560 2170172 2256404 2712715 2820505 2844840 3255258 3384606 4340344 4512808 5425430 5641010 5689680 6510516 6769212 8138145 8461515 8680688 9025616 10850860 11282020 13021032 13538424 16276290 16923030 21701720 22564040 26042064 27076848 32552580 33846060 43403440 45128080 65105160 67692120 85179251 130210320 135384240 170358502 255537753 340717004 425896255 511075506 681434008 851792510 1022151012 1277688765 1362868016 1703585020 2044302024 2555377530 3407170040 4088604048 5110755060 6814340080 10221510120 20443020240