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243128560 = 2451719972
BaseRepresentation
bin11100111110111…
…01100011110000
3121221111012200111
432133131203300
5444220103220
640043031104
76011362423
oct1637354360
9557435614
10243128560
111152700a4
126950b494
133b4a7b6c
142440b9ba
151652815a
hexe7dd8f0

243128560 has 120 divisors (see below), whose sum is σ = 636588720. Its totient is φ = 85819392.

The previous prime is 243128551. The next prime is 243128569. The reversal of 243128560 is 65821342.

It is an interprime number because it is at equal distance from previous prime (243128551) and next prime (243128569).

It is a super-2 number, since 2×2431285602 = 118222993375347200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243128569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2506432 + ... + 2506528.

It is an arithmetic number, because the mean of its divisors is an integer number (5304906).

Almost surely, 2243128560 is an apocalyptic number.

243128560 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 243128560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318294360).

243128560 is an abundant number, since it is smaller than the sum of its proper divisors (393460160).

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

243128560 is a wasteful number, since it uses less digits than its factorization.

243128560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 243128560 is about 15592.5802867903. The cubic root of 243128560 is about 624.1351750765.

The spelling of 243128560 in words is "two hundred forty-three million, one hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 97 136 152 170 190 194 272 304 323 340 380 388 485 646 680 760 776 970 1292 1360 1520 1552 1615 1649 1843 1940 2584 3230 3298 3686 3880 5168 6460 6596 7372 7760 8245 9215 9409 12920 13192 14744 16490 18430 18818 25840 26384 29488 31331 32980 36860 37636 47045 62662 65960 73720 75272 94090 125324 131920 147440 150544 156655 159953 178771 188180 250648 313310 319906 357542 376360 501296 626620 639812 715084 752720 799765 893855 1253240 1279624 1430168 1599530 1787710 2506480 2559248 2860336 3039107 3199060 3575420 6078214 6398120 7150840 12156428 12796240 14301680 15195535 24312856 30391070 48625712 60782140 121564280 243128560