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580468240 = 2451119149233
BaseRepresentation
bin100010100110010…
…011111000010000
31111110020211201201
4202212103320100
52142044440430
6133333240544
720245620142
oct4246237020
91443224651
10580468240
11278728420
12142493154
139334a641
1457140c92
1535e608ca
hex22993e10

580468240 has 160 divisors (see below), whose sum is σ = 1566864000. Its totient is φ = 197775360.

The previous prime is 580468171. The next prime is 580468249. The reversal of 580468240 is 42864085.

It is a self number, because there is not a number n which added to its sum of digits gives 580468240.

It is not an unprimeable number, because it can be changed into a prime (580468249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2491164 + ... + 2491396.

It is an arithmetic number, because the mean of its divisors is an integer number (9792900).

Almost surely, 2580468240 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 580468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783432000).

580468240 is an abundant number, since it is smaller than the sum of its proper divisors (986395760).

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

580468240 is a wasteful number, since it uses less digits than its factorization.

580468240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 580468240 is about 24092.9085002206. The cubic root of 580468240 is about 834.1794513659.

The spelling of 580468240 in words is "five hundred eighty million, four hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 149 152 176 190 209 220 233 298 304 380 418 440 466 596 745 760 836 880 932 1045 1165 1192 1490 1520 1639 1672 1864 2090 2330 2384 2563 2831 2980 3278 3344 3728 4180 4427 4660 5126 5662 5960 6556 8195 8360 8854 9320 10252 11324 11920 12815 13112 14155 16390 16720 17708 18640 20504 22135 22648 25630 26224 28310 31141 32780 34717 35416 41008 44270 45296 48697 51260 56620 62282 65560 69434 70832 88540 97394 102520 113240 124564 131120 138868 155705 173585 177080 194788 205040 226480 243485 249128 277736 311410 347170 354160 381887 389576 486970 498256 555472 622820 659623 694340 763774 779152 973940 1245640 1319246 1388680 1527548 1909435 1947880 2491280 2638492 2777360 3055096 3298115 3818870 3895760 5276984 6110192 6596230 7255853 7637740 10553968 13192460 14511706 15275480 26384920 29023412 30550960 36279265 52769840 58046824 72558530 116093648 145117060 290234120 580468240