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54141200 = 2452135353
BaseRepresentation
bin1100111010001…
…0000100010000
310202212122202122
43032202010100
5102330004300
65212233412
71225123031
oct316420420
9122778678
1054141200
112861a0a3
121616b868
13b2a8319
147294a88
154b46c85
hex33a2110

54141200 has 30 divisors (see below), whose sum is σ = 130075194. Its totient is φ = 21656320.

The previous prime is 54141187. The next prime is 54141211. The reversal of 54141200 is 214145.

It can be written as a sum of positive squares in 3 ways, for example, as 6310144 + 47831056 = 2512^2 + 6916^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67277 + ... + 68076.

Almost surely, 254141200 is an apocalyptic number.

54141200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54141200 is an abundant number, since it is smaller than the sum of its proper divisors (75933994).

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

54141200 is a wasteful number, since it uses less digits than its factorization.

54141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135371 (or 135360 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 54141200 is about 7358.0703992283. The cubic root of 54141200 is about 378.3054742608.

Adding to 54141200 its reverse (214145), we get a palindrome (54355345).

The spelling of 54141200 in words is "fifty-four million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 135353 270706 541412 676765 1082824 1353530 2165648 2707060 3383825 5414120 6767650 10828240 13535300 27070600 54141200