Search a number
-
+
580462420 = 22541739697
BaseRepresentation
bin100010100110010…
…010011101010100
31111110020112202011
4202212102131110
52142044244140
6133333154004
720245564156
oct4246223524
91443215664
10580462420
1127872400a
1214248b904
1393347ab5
145713cad6
1535e5dcea
hex22992754

580462420 has 48 divisors (see below), whose sum is σ = 1265938128. Its totient is φ = 223395840.

The previous prime is 580462403. The next prime is 580462447. The reversal of 580462420 is 24264085.

It can be written as a sum of positive squares in 8 ways, for example, as 148986436 + 431475984 = 12206^2 + 20772^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55012 + ... + 64708.

It is an arithmetic number, because the mean of its divisors is an integer number (26373711).

Almost surely, 2580462420 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 580462420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632969064).

580462420 is an abundant number, since it is smaller than the sum of its proper divisors (685475708).

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

580462420 is a wasteful number, since it uses less digits than its factorization.

580462420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9820 (or 9818 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 580462420 is about 24092.7877174892. The cubic root of 580462420 is about 834.1766634209.

The spelling of 580462420 in words is "five hundred eighty million, four hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 730 820 1460 2993 5986 9697 11972 14965 19394 29930 38788 48485 59860 96970 193940 397577 707881 795154 1415762 1590308 1987885 2831524 3539405 3975770 7078810 7951540 14157620 29023121 58046242 116092484 145115605 290231210 580462420