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540575980 = 22574122297
BaseRepresentation
bin100000001110001…
…000100011101100
31101200012002211121
4200032020203230
52101341412410
6125350230324
716252551160
oct4016104354
91350162747
10540575980
1125816080a
121310553a4
1387cc0b59
1451b18ca0
15326d09da
hex203888ec

540575980 has 72 divisors (see below), whose sum is σ = 1330376544. Its totient is φ = 180741120.

The previous prime is 540575977. The next prime is 540575989. The reversal of 540575980 is 89575045.

It is not an unprimeable number, because it can be changed into a prime (540575989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234192 + ... + 236488.

It is an arithmetic number, because the mean of its divisors is an integer number (18477452).

Almost surely, 2540575980 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 540575980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665188272).

540575980 is an abundant number, since it is smaller than the sum of its proper divisors (789800564).

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

540575980 is a wasteful number, since it uses less digits than its factorization.

540575980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 43.

The square root of 540575980 is about 23250.2898906659. The cubic root of 540575980 is about 814.6147099255.

The spelling of 540575980 in words is "five hundred forty million, five hundred seventy-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 1681 2297 2870 3362 4594 5740 6724 8405 9188 11485 11767 16079 16810 22970 23534 32158 33620 45940 47068 58835 64316 80395 94177 117670 160790 188354 235340 321580 376708 470885 659239 941770 1318478 1883540 2636956 3296195 3861257 6592390 7722514 13184780 15445028 19306285 27028799 38612570 54057598 77225140 108115196 135143995 270287990 540575980