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242643000 = 23353292789
BaseRepresentation
bin11100111011001…
…11000000111000
3121220120112121210
432131213000320
5444104034000
640024403120
76004300665
oct1635470070
9556515553
10242643000
11114a69306
12693164a0
133b367b52
1424322a6c
151647e350
hexe767038

242643000 has 128 divisors (see below), whose sum is σ = 783432000. Its totient is φ = 62451200.

The previous prime is 242642963. The next prime is 242643013. The reversal of 242643000 is 346242.

242643000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 85606 + ... + 88394.

Almost surely, 2242643000 is an apocalyptic number.

242643000 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 242643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391716000).

242643000 is an abundant number, since it is smaller than the sum of its proper divisors (540789000).

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

242643000 is a wasteful number, since it uses less digits than its factorization.

242643000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 242643000 is about 15577.0022790009. The cubic root of 242643000 is about 623.7194045793.

Adding to 242643000 its reverse (346242), we get a palindrome (242989242).

The spelling of 242643000 in words is "two hundred forty-two million, six hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2789 2900 3000 3480 3625 4350 5578 5800 7250 8367 8700 10875 11156 13945 14500 16734 17400 21750 22312 27890 29000 33468 41835 43500 55780 66936 69725 80881 83670 87000 111560 139450 161762 167340 209175 242643 278900 323524 334680 348625 404405 418350 485286 557800 647048 697250 808810 836700 970572 1045875 1213215 1394500 1617620 1673400 1941144 2022025 2091750 2426430 2789000 3235240 4044050 4183500 4852860 6066075 8088100 8367000 9705720 10110125 12132150 16176200 20220250 24264300 30330375 40440500 48528600 60660750 80881000 121321500 242643000