Search a number
-
+
580132280 = 235713473391
BaseRepresentation
bin100010100101000…
…001110110111000
31111102121202212202
4202211001312320
52142003213110
6133322125332
720243020520
oct4245016670
91442552782
10580132280
11278518a72
12142350848
1393260750
1457094680
1535de60a5
hex22941db8

580132280 has 128 divisors (see below), whose sum is σ = 1641185280. Its totient is φ = 179642880.

The previous prime is 580132277. The next prime is 580132283. The reversal of 580132280 is 82231085.

It is an interprime number because it is at equal distance from previous prime (580132277) and next prime (580132283).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580132283) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 169385 + ... + 172775.

It is an arithmetic number, because the mean of its divisors is an integer number (12821760).

Almost surely, 2580132280 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 580132280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820592640).

580132280 is an abundant number, since it is smaller than the sum of its proper divisors (1061053000).

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

580132280 is a wasteful number, since it uses less digits than its factorization.

580132280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 580132280 is about 24085.9353150340. The cubic root of 580132280 is about 834.0184864794.

The spelling of 580132280 in words is "five hundred eighty million, one hundred thirty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 47 52 56 65 70 91 94 104 130 140 182 188 235 260 280 329 364 376 455 470 520 611 658 728 910 940 1222 1316 1645 1820 1880 2444 2632 3055 3290 3391 3640 4277 4888 6110 6580 6782 8554 12220 13160 13564 16955 17108 21385 23737 24440 27128 33910 34216 42770 44083 47474 67820 85540 88166 94948 118685 135640 159377 171080 176332 189896 220415 237370 308581 318754 352664 440830 474740 617162 637508 796885 881660 949480 1115639 1234324 1275016 1542905 1593770 1763320 2071901 2231278 2468648 3085810 3187540 4143802 4462556 5578195 6171620 6375080 8287604 8925112 10359505 11156390 12343240 14503307 16575208 20719010 22312780 29006614 41438020 44625560 58013228 72516535 82876040 116026456 145033070 290066140 580132280