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288012140 = 225131139803
BaseRepresentation
bin10001001010101…
…011011101101100
3202001221112101022
4101022223131230
51042212342030
644325033312
710065030353
oct2112533554
9661845338
10288012140
11138636869
1280555838
13478914b0
142a37299a
151a441de5
hex112ab76c

288012140 has 48 divisors (see below), whose sum is σ = 657181728. Its totient is φ = 105391104.

The previous prime is 288012121. The next prime is 288012169. The reversal of 288012140 is 41210882.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24479 + ... + 34281.

It is an arithmetic number, because the mean of its divisors is an integer number (13691286).

Almost surely, 2288012140 is an apocalyptic number.

288012140 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 288012140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328590864).

288012140 is an abundant number, since it is smaller than the sum of its proper divisors (369169588).

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

288012140 is a wasteful number, since it uses less digits than its factorization.

288012140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9938 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 288012140 is about 16970.9204228881. The cubic root of 288012140 is about 660.3947286756.

The spelling of 288012140 in words is "two hundred eighty-eight million, twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 2260 2938 5876 7345 9803 14690 19606 29380 39212 49015 98030 127439 196060 254878 509756 637195 1107739 1274390 2215478 2548780 4430956 5538695 11077390 14400607 22154780 28801214 57602428 72003035 144006070 288012140