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580520304 = 243371314767
BaseRepresentation
bin100010100110100…
…000100101110000
31111110100111011000
4202212200211300
52142103122204
6133334322000
720246225010
oct4246404560
91443314130
10580520304
11278763551
121424b9300
1393368250
1457155c40
1535e71039
hex229a0970

580520304 has 160 divisors (see below), whose sum is σ = 2050979840. Its totient is φ = 153093888.

The previous prime is 580520249. The next prime is 580520321. The reversal of 580520304 is 403025085.

580520304 is a `hidden beast` number, since 580 + 52 + 0 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31929 + ... + 46695.

It is an arithmetic number, because the mean of its divisors is an integer number (12818624).

Almost surely, 2580520304 is an apocalyptic number.

580520304 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 580520304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025489920).

580520304 is an abundant number, since it is smaller than the sum of its proper divisors (1470459536).

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

580520304 is a wasteful number, since it uses less digits than its factorization.

580520304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14804 (or 14792 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 580520304 is about 24093.9889599045. The cubic root of 580520304 is about 834.2043906693.

Adding to 580520304 its reverse (403025085), we get a palindrome (983545389).

The spelling of 580520304 in words is "five hundred eighty million, five hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 14767 19656 29534 39312 44301 59068 88602 103369 118136 132903 177204 191971 206738 236272 265806 310107 354408 383942 398709 413476 531612 575913 620214 708816 767884 797418 826952 930321 1063224 1151826 1240428 1343797 1535768 1594836 1653904 1727739 1860642 2126448 2303652 2480856 2687594 2790963 3071536 3189672 3455478 3721284 4031391 4607304 4961712 5183217 5375188 5581926 6379344 6910956 7442568 8062782 9214608 10366434 10750376 11163852 12094173 13821912 14885136 16125564 20732868 21500752 22327704 24188346 27643824 32251128 36282519 41465736 44655408 48376692 64502256 72565038 82931472 96753384 145130076 193506768 290260152 580520304