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543468690 = 2345976917
BaseRepresentation
bin100000011001001…
…010110010010010
31101212122001220000
4200121022302102
52103111444230
6125532230430
716316256552
oct4031126222
91355561800
10543468690
11259857086
1213200b416
138879470b
145226d162
1532aa2b60
hex2064ac92

543468690 has 80 divisors (see below), whose sum is σ = 1476605592. Its totient is φ = 143410176.

The previous prime is 543468689. The next prime is 543468697. The reversal of 543468690 is 96864345.

543468690 is a `hidden beast` number, since 543 + 46 + 8 + 69 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 455352921 + 88115769 = 21339^2 + 9387^2 .

It is a super-2 number, since 2×5434686902 = 590716434020632200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (543468697) 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 39 ways as a sum of consecutive naturals, for example, 75112 + ... + 82028.

Almost surely, 2543468690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 543468690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738302796).

543468690 is an abundant number, since it is smaller than the sum of its proper divisors (933136902).

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

543468690 is a wasteful number, since it uses less digits than its factorization.

543468690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 543468690 is about 23312.4149328207. The cubic root of 543468690 is about 816.0651710492.

It can be divided in two parts, 54346 and 8690, that added together give a palindrome (63036).

The spelling of 543468690 in words is "five hundred forty-three million, four hundred sixty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 97 135 162 194 270 291 405 485 582 810 873 970 1455 1746 2619 2910 4365 5238 6917 7857 8730 13095 13834 15714 20751 26190 34585 39285 41502 62253 69170 78570 103755 124506 186759 207510 311265 373518 560277 622530 670949 933795 1120554 1341898 1867590 2012847 2801385 3354745 4025694 5602770 6038541 6709490 10064235 12077082 18115623 20128470 30192705 36231246 54346869 60385410 90578115 108693738 181156230 271734345 543468690