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580640712 = 233175924121
BaseRepresentation
bin100010100110111…
…101111111001000
31111110120121022120
4202212331333020
52142121000322
6133341051240
720250236031
oct4246757710
91443517276
10580640712
11278835a63
12142556b20
13933aacb2
1457187a88
1535e96a5c
hex229bdfc8

580640712 has 64 divisors (see below), whose sum is σ = 1563105600. Its totient is φ = 179066880.

The previous prime is 580640707. The next prime is 580640713. The reversal of 580640712 is 217046085.

It is not an unprimeable number, because it can be changed into a prime (580640713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12012 + ... + 36132.

It is an arithmetic number, because the mean of its divisors is an integer number (24423525).

Almost surely, 2580640712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580640712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781552800).

580640712 is an abundant number, since it is smaller than the sum of its proper divisors (982464888).

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

580640712 is a wasteful number, since it uses less digits than its factorization.

580640712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24206 (or 24202 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 580640712 is about 24096.4875448684. The cubic root of 580640712 is about 834.2620618870.

Adding to 580640712 its reverse (217046085), we get a palindrome (797686797).

The spelling of 580640712 in words is "five hundred eighty million, six hundred forty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 102 118 136 177 204 236 354 408 472 708 1003 1416 2006 3009 4012 6018 8024 12036 24072 24121 48242 72363 96484 144726 192968 289452 410057 578904 820114 1230171 1423139 1640228 2460342 2846278 3280456 4269417 4920684 5692556 8538834 9841368 11385112 17077668 24193363 34155336 48386726 72580089 96773452 145160178 193546904 290320356 580640712