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540900612 = 223372432377
BaseRepresentation
bin100000001111010…
…111110100000100
31101200210121011000
4200033113310010
52101432304422
6125401213300
716255402500
oct4017276404
91350717130
10540900612
112583626aa
12131191230
13880a5845
1451ba1300
1532746cac
hex203d7d04

540900612 has 144 divisors (see below), whose sum is σ = 1669926720. Its totient is φ = 150885504.

The previous prime is 540900599. The next prime is 540900629. The reversal of 540900612 is 216009045.

540900612 is a `hidden beast` number, since 5 + 40 + 9 + 0 + 0 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 226368 + ... + 228744.

Almost surely, 2540900612 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 540900612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834963360).

540900612 is an abundant number, since it is smaller than the sum of its proper divisors (1129026108).

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

540900612 is a wasteful number, since it uses less digits than its factorization.

540900612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 540900612 is about 23257.2700891571. The cubic root of 540900612 is about 814.7777441046. Note that the first 4 decimals are identical.

Adding to 540900612 its reverse (216009045), we get a palindrome (756909657).

The spelling of 540900612 in words is "five hundred forty million, nine hundred thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 49 54 63 84 86 98 108 126 129 147 172 189 196 252 258 294 301 378 387 441 516 588 602 756 774 882 903 1161 1204 1323 1548 1764 1806 2107 2322 2377 2646 2709 3612 4214 4644 4754 5292 5418 6321 7131 8127 8428 9508 10836 12642 14262 16254 16639 18963 21393 25284 28524 32508 33278 37926 42786 49917 56889 64179 66556 75852 85572 99834 102211 113778 116473 128358 149751 199668 204422 227556 232946 256716 299502 306633 349419 408844 449253 465892 599004 613266 698838 715477 898506 919899 1048257 1226532 1397676 1430954 1797012 1839798 2096514 2146431 2759697 2861908 3144771 3679596 4193028 4292862 5008339 5519394 6289542 6439293 8585724 10016678 11038788 12579084 12878586 15025017 19317879 20033356 25757172 30050034 38635758 45075051 60100068 77271516 90150102 135225153 180300204 270450306 540900612