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540788580 = 223254797659
BaseRepresentation
bin100000001110111…
…100011101100100
31101200120220110200
4200032330131210
52101420213310
6125354550500
716254425043
oct4016743544
91350526420
10540788580
11258296512
12131138430
1388066857
1451b7255a
15327239c0
hex203bc764

540788580 has 144 divisors (see below), whose sum is σ = 1695133440. Its totient is φ = 139474944.

The previous prime is 540788579. The next prime is 540788617. The reversal of 540788580 is 85887045.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820291 + ... + 820949.

It is an arithmetic number, because the mean of its divisors is an integer number (11771760).

Almost surely, 2540788580 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 540788580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847566720).

540788580 is an abundant number, since it is smaller than the sum of its proper divisors (1154344860).

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

540788580 is a wasteful number, since it uses less digits than its factorization.

540788580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 540788580 is about 23254.8614272371. The cubic root of 540788580 is about 814.7214876310.

The spelling of 540788580 in words is "five hundred forty million, seven hundred eighty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 97 141 180 188 194 235 282 291 388 423 470 485 564 582 659 705 846 873 940 970 1164 1318 1410 1455 1692 1746 1940 1977 2115 2636 2820 2910 3295 3492 3954 4230 4365 4559 5820 5931 6590 7908 8460 8730 9118 9885 11862 13180 13677 17460 18236 19770 22795 23724 27354 29655 30973 39540 41031 45590 54708 59310 61946 63923 68385 82062 91180 92919 118620 123892 127846 136770 154865 164124 185838 191769 205155 255692 273540 278757 309730 319615 371676 383538 410310 464595 557514 575307 619460 639230 767076 820620 929190 958845 1115028 1150614 1278460 1393785 1858380 1917690 2301228 2787570 2876535 3004381 3835380 5575140 5753070 6008762 9013143 11506140 12017524 15021905 18026286 27039429 30043810 36052572 45065715 54078858 60087620 90131430 108157716 135197145 180262860 270394290 540788580