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282030080 = 212547293
BaseRepresentation
bin10000110011110…
…111000000000000
3201122200121112112
4100303313000000
51034144430310
643552514452
76663134063
oct2063670000
9648617475
10282030080
11135220412
127a54ba28
1346578707
14296568da
1519b5e705
hex10cf7000

282030080 has 104 divisors (see below), whose sum is σ = 693548352. Its totient is φ = 110034944.

The previous prime is 282030061. The next prime is 282030097. The reversal of 282030080 is 80030282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 962414 + ... + 962706.

Almost surely, 2282030080 is an apocalyptic number.

282030080 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 282030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346774176).

282030080 is an abundant number, since it is smaller than the sum of its proper divisors (411518272).

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

282030080 is an equidigital number, since it uses as much as digits as its factorization.

282030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 282030080 is about 16793.7512188314. The cubic root of 282030080 is about 655.7905339558.

The spelling of 282030080 in words is "two hundred eighty-two million, thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 256 293 320 376 470 512 586 640 752 940 1024 1172 1280 1465 1504 1880 2048 2344 2560 2930 3008 3760 4096 4688 5120 5860 6016 7520 9376 10240 11720 12032 13771 15040 18752 20480 23440 24064 27542 30080 37504 46880 48128 55084 60160 68855 75008 93760 96256 110168 120320 137710 150016 187520 192512 220336 240640 275420 300032 375040 440672 481280 550840 600064 750080 881344 962560 1101680 1200128 1500160 1762688 2203360 3000320 3525376 4406720 6000640 7050752 8813440 14101504 17626880 28203008 35253760 56406016 70507520 141015040 282030080