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580039380 = 22345379677
BaseRepresentation
bin100010100100101…
…011001011010100
31111102110001110000
4202210223023110
52141442230010
6133320131300
720242152624
oct4244531324
91442401400
10580039380
11278465198
12142306b30
139322a38b
145706c884
1535dc87c0
hex2292b2d4

580039380 has 120 divisors (see below), whose sum is σ = 1868976648. Its totient is φ = 150481152.

The previous prime is 580039379. The next prime is 580039451. The reversal of 580039380 is 83930085.

It can be written as a sum of positive squares in 4 ways, for example, as 208398096 + 371641284 = 14436^2 + 19278^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 55102 + ... + 64778.

Almost surely, 2580039380 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 580039380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934488324).

580039380 is an abundant number, since it is smaller than the sum of its proper divisors (1288937268).

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

580039380 is a wasteful number, since it uses less digits than its factorization.

580039380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9735 (or 9724 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 580039380 is about 24084.0067264565. The cubic root of 580039380 is about 833.9739653381.

The spelling of 580039380 in words is "five hundred eighty million, thirty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 270 324 333 370 405 444 540 555 666 740 810 999 1110 1332 1620 1665 1998 2220 2997 3330 3996 4995 5994 6660 9677 9990 11988 14985 19354 19980 29031 29970 38708 48385 58062 59940 87093 96770 116124 145155 174186 193540 261279 290310 348372 358049 435465 522558 580620 716098 783837 870930 1045116 1074147 1306395 1432196 1567674 1741860 1790245 2148294 2612790 3135348 3222441 3580490 3919185 4296588 5225580 5370735 6444882 7160980 7838370 9667323 10741470 12889764 15676740 16112205 19334646 21482940 29001969 32224410 38669292 48336615 58003938 64448820 96673230 116007876 145009845 193346460 290019690 580039380