Search a number
-
+
540606000 = 24353118191
BaseRepresentation
bin100000001110001…
…111111000110000
31101200020122000110
4200032033320300
52101343343000
6125351021320
716253034534
oct4016177060
91350218013
10540606000
11258181320
1213106a840
138800170c
1451b25bc4
15326d9850
hex2038fe30

540606000 has 160 divisors (see below), whose sum is σ = 1901592576. Its totient is φ = 131040000.

The previous prime is 540605983. The next prime is 540606061. The reversal of 540606000 is 606045.

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 31 ways as a sum of consecutive naturals, for example, 61905 + ... + 70095.

Almost surely, 2540606000 is an apocalyptic number.

540606000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950796288).

540606000 is an abundant number, since it is smaller than the sum of its proper divisors (1360986576).

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

540606000 is a wasteful number, since it uses less digits than its factorization.

540606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 540606000 is about 23250.9354650517. The cubic root of 540606000 is about 814.6297890767.

The spelling of 540606000 in words is "five hundred forty million, six hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8191 8250 11000 13200 16382 16500 22000 24573 32764 33000 40955 49146 65528 66000 81910 90101 98292 122865 131056 163820 180202 196584 204775 245730 270303 327640 360404 393168 409550 450505 491460 540606 614325 655280 720808 819100 901010 982920 1023875 1081212 1228650 1351515 1441616 1638200 1802020 1965840 2047750 2162424 2252525 2457300 2703030 3071625 3276400 3604040 4095500 4324848 4505050 4914600 5406060 6143250 6757575 7208080 8191000 9010100 9829200 10812120 11262625 12286500 13515150 16382000 18020200 21624240 22525250 24573000 27030300 33787875 36040400 45050500 49146000 54060600 67575750 90101000 108121200 135151500 180202000 270303000 540606000