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580484016 = 243371391381
BaseRepresentation
bin100010100110010…
…111101110110000
31111110021122101000
4202212113232300
52142100442031
6133333442000
720246014140
oct4246275660
91443248330
10580484016
11278739262
121424a0300
1393354888
1457146920
1535e653e6
hex22997bb0

580484016 has 160 divisors (see below), whose sum is σ = 1919321600. Its totient is φ = 164540160.

The previous prime is 580484011. The next prime is 580484017. The reversal of 580484016 is 610484085.

580484016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (580484011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419646 + ... + 421026.

It is an arithmetic number, because the mean of its divisors is an integer number (11995760).

Almost surely, 2580484016 is an apocalyptic number.

580484016 is a gapful number since it is divisible by the number (56) 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 580484016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959660800).

580484016 is an abundant number, since it is smaller than the sum of its proper divisors (1338837584).

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

580484016 is a wasteful number, since it uses less digits than its factorization.

580484016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 580484016 is about 24093.2358972389. The cubic root of 580484016 is about 834.1870084235.

The spelling of 580484016 in words is "five hundred eighty million, four hundred eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 139 144 168 189 216 252 278 336 378 417 432 504 556 756 834 973 1008 1112 1251 1381 1512 1668 1946 2224 2502 2762 2919 3024 3336 3753 3892 4143 5004 5524 5838 6672 7506 7784 8286 8757 9667 10008 11048 11676 12429 15012 15568 16572 17514 19334 20016 22096 23352 24858 26271 29001 30024 33144 35028 37287 38668 46704 49716 52542 58002 60048 66288 70056 74574 77336 87003 99432 105084 116004 140112 149148 154672 174006 191959 198864 210168 232008 261009 298296 348012 383918 420336 464016 522018 575877 596592 696024 767836 1044036 1151754 1343713 1392048 1535672 1727631 2088072 2303508 2687426 3071344 3455262 4031139 4176144 4607016 5182893 5374852 6910524 8062278 9214032 10365786 10749704 12093417 13821048 16124556 20731572 21499408 24186834 27642096 32249112 36280251 41463144 48373668 64498224 72560502 82926288 96747336 145121004 193494672 290242008 580484016