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128243040 = 253553712
BaseRepresentation
bin1111010010011…
…01010101100000
322221022102101020
413221031111200
5230312234130
620420405440
73115022262
oct751152540
9287272336
10128243040
1166431992
1236b46880
1320751b73
1413063b32
15b3d2e10
hex7a4d560

128243040 has 144 divisors (see below), whose sum is σ = 417466224. Its totient is φ = 33080320.

The previous prime is 128243029. The next prime is 128243047. The reversal of 128243040 is 40342821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 128243040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128243047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1806205 + ... + 1806275.

It is an arithmetic number, because the mean of its divisors is an integer number (2899071).

Almost surely, 2128243040 is an apocalyptic number.

128243040 is a gapful number since it is divisible by the number (10) 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 128243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208733112).

128243040 is an abundant number, since it is smaller than the sum of its proper divisors (289223184).

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

128243040 is an equidigital number, since it uses as much as digits as its factorization.

128243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 128243040 is about 11324.4443572301. Note that the first 3 decimals coincide. The cubic root of 128243040 is about 504.2871883017.

Adding to 128243040 its reverse (40342821), we get a palindrome (168585861).

The spelling of 128243040 in words is "one hundred twenty-eight million, two hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 71 80 96 106 120 142 159 160 212 213 240 265 284 318 355 424 426 480 530 568 636 710 795 848 852 1060 1065 1136 1272 1420 1590 1696 1704 2120 2130 2272 2544 2840 3180 3408 3763 4240 4260 5041 5088 5680 6360 6816 7526 8480 8520 10082 11289 11360 12720 15052 15123 17040 18815 20164 22578 25205 25440 30104 30246 34080 37630 40328 45156 50410 56445 60208 60492 75260 75615 80656 90312 100820 112890 120416 120984 150520 151230 161312 180624 201640 225780 241968 267173 301040 302460 361248 403280 451560 483936 534346 602080 604920 801519 806560 903120 1068692 1209840 1335865 1603038 1806240 2137384 2419680 2671730 3206076 4007595 4274768 5343460 6412152 8015190 8549536 10686920 12824304 16030380 21373840 25648608 32060760 42747680 64121520 128243040