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20280240 = 2433541229
BaseRepresentation
bin100110101011…
…1001110110000
31102011100021000
41031113032300
520142431430
62002402000
7334244031
oct115271660
942140230
1020280240
11104a1932
126960300
134280b56
14299ca88
151ba8e60
hex13573b0

20280240 has 160 divisors (see below), whose sum is σ = 71870400. Its totient is φ = 5253120.

The previous prime is 20280229. The next prime is 20280259. The reversal of 20280240 is 4208202.

It is a super-2 number, since 2×202802402 = 822576268915200, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 88446 + ... + 88674.

It is an arithmetic number, because the mean of its divisors is an integer number (449190).

Almost surely, 220280240 is an apocalyptic number.

20280240 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 20280240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35935200).

20280240 is an abundant number, since it is smaller than the sum of its proper divisors (51590160).

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

20280240 is a wasteful number, since it uses less digits than its factorization.

20280240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20280240 is about 4503.3587465357. The cubic root of 20280240 is about 272.7036997807.

Adding to 20280240 its reverse (4208202), we get a palindrome (24488442).

The spelling of 20280240 in words is "twenty million, two hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 229 240 246 270 328 360 369 410 432 458 492 540 615 656 687 720 738 820 916 984 1080 1107 1145 1230 1374 1476 1640 1832 1845 1968 2061 2160 2214 2290 2460 2748 2952 3280 3435 3664 3690 4122 4428 4580 4920 5496 5535 5904 6183 6870 7380 8244 8856 9160 9389 9840 10305 10992 11070 12366 13740 14760 16488 17712 18320 18778 20610 22140 24732 27480 28167 29520 30915 32976 37556 41220 44280 46945 49464 54960 56334 61830 75112 82440 84501 88560 93890 98928 112668 123660 140835 150224 164880 169002 187780 225336 247320 253503 281670 338004 375560 422505 450672 494640 507006 563340 676008 751120 845010 1014012 1126680 1267515 1352016 1690020 2028024 2253360 2535030 3380040 4056048 5070060 6760080 10140120 20280240