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580389084 = 2233112231931
BaseRepresentation
bin100010100110000…
…000100011011100
31111110002211011000
4202212000203130
52142034422314
6133331430300
720245140312
oct4246004334
91443084130
10580389084
11278683a00
12142455390
13933205c2
14571200b2
1535e47209
hex229808dc

580389084 has 144 divisors (see below), whose sum is σ = 1726744320. Its totient is φ = 168141600.

The previous prime is 580389083. The next prime is 580389091. The reversal of 580389084 is 480983085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580389083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299599 + ... + 301529.

It is an arithmetic number, because the mean of its divisors is an integer number (11991280).

Almost surely, 2580389084 is an apocalyptic number.

580389084 is a gapful number since it is divisible by the number (54) 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 580389084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863372160).

580389084 is an abundant number, since it is smaller than the sum of its proper divisors (1146355236).

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

580389084 is a wasteful number, since it uses less digits than its factorization.

580389084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 580389084 is about 24091.2657201734. The cubic root of 580389084 is about 834.1415318004.

The spelling of 580389084 in words is "five hundred eighty million, three hundred eighty-nine thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 121 132 138 198 207 242 253 276 297 363 396 414 484 506 594 621 726 759 828 1012 1089 1188 1242 1452 1518 1931 2178 2277 2484 2783 3036 3267 3862 4356 4554 5566 5793 6534 6831 7724 8349 9108 11132 11586 13068 13662 16698 17379 21241 23172 25047 27324 33396 34758 42482 44413 50094 52137 63723 69516 75141 84964 88826 100188 104274 127446 133239 150282 177652 191169 208548 233651 254892 266478 300564 382338 399717 467302 488543 532956 573507 700953 764676 799434 934604 977086 1147014 1199151 1401906 1465629 1598868 1954172 2102859 2294028 2398302 2803812 2931258 4205718 4396887 4796604 5373973 5862516 6308577 8411436 8793774 10747946 12617154 13190661 16121919 17587548 21495892 25234308 26381322 32243838 48365757 52762644 64487676 96731514 145097271 193463028 290194542 580389084