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580420302 = 237112181631
BaseRepresentation
bin100010100110001…
…000001011001110
31111110011101222020
4202212020023032
52142041422202
6133332231010
720245330320
oct4246101316
91443141866
10580420302
112786a5400
1214246b466
1393331887
145712b610
1535e515bc
hex229882ce

580420302 has 96 divisors (see below), whose sum is σ = 1468626432. Its totient is φ = 149688000.

The previous prime is 580420301. The next prime is 580420327. The reversal of 580420302 is 203024085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580420301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919527 + ... + 920157.

It is an arithmetic number, because the mean of its divisors is an integer number (15298192).

Almost surely, 2580420302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580420302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734313216).

580420302 is an abundant number, since it is smaller than the sum of its proper divisors (888206130).

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

580420302 is a wasteful number, since it uses less digits than its factorization.

580420302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 580420302 is about 24091.9136226245. The cubic root of 580420302 is about 834.1564871492.

Adding to 580420302 its reverse (203024085), we get a palindrome (783444387).

It can be divided in two parts, 5804 and 20302, that added together give a triangular number (26106 = T228).

The spelling of 580420302 in words is "five hundred eighty million, four hundred twenty thousand, three hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 181 231 242 362 363 462 543 631 726 847 1086 1262 1267 1694 1893 1991 2534 2541 3786 3801 3982 4417 5082 5973 6941 7602 8834 11946 13251 13882 13937 20823 21901 26502 27874 41646 41811 43802 48587 65703 76351 83622 97174 114211 131406 145761 152702 153307 228422 229053 291522 306614 342633 458106 459921 534457 685266 799477 919842 1068914 1256321 1598954 1603371 2398431 2512642 3206742 3768963 4796862 7537926 8794247 13819531 17588494 26382741 27639062 41458593 52765482 82917186 96736717 193473434 290210151 580420302