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54143100 = 223352111823
BaseRepresentation
bin1100111010001…
…0100001111100
310202212202101000
43032202201330
5102330034400
65212250300
71225131414
oct316424174
9122782330
1054143100
1128620570
1216170990
13b2a914b
147295644
154b47600
hex33a287c

54143100 has 144 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 13118400.

The previous prime is 54143077. The next prime is 54143101. The reversal of 54143100 is 134145.

It is a happy number.

54143100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×541431002 = 5862950555220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54143101) by changing a digit.

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, 28789 + ... + 30611.

It is an arithmetic number, because the mean of its divisors is an integer number (1319360).

Almost surely, 254143100 is an apocalyptic number.

54143100 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 54143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

54143100 is an abundant number, since it is smaller than the sum of its proper divisors (135844740).

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

54143100 is a wasteful number, since it uses less digits than its factorization.

54143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 54143100 is about 7358.1995080318. The cubic root of 54143100 is about 378.3098995536.

Adding to 54143100 its reverse (134145), we get a palindrome (54277245).

The spelling of 54143100 in words is "fifty-four million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1823 1980 2475 2700 2970 3300 3646 4950 5469 5940 7292 7425 9115 9900 10938 14850 16407 18230 20053 21876 27345 29700 32814 36460 40106 45575 49221 54690 60159 65628 80212 82035 91150 98442 100265 109380 120318 136725 164070 180477 182300 196884 200530 240636 246105 273450 300795 328140 360954 401060 410175 492210 501325 541431 546900 601590 721908 820350 902385 984420 1002650 1082862 1203180 1230525 1503975 1640700 1804770 2005300 2165724 2461050 2707155 3007950 3609540 4511925 4922100 5414310 6015900 9023850 10828620 13535775 18047700 27071550 54143100