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253135400 = 23527180811
BaseRepresentation
bin11110001011010…
…00101000101000
3122122022121111012
433011220220220
51004300313100
641041323052
76162421040
oct1705505050
9578277435
10253135400
1111a985411
1270936488
134059c87b
1425894720
1517353135
hexf168a28

253135400 has 48 divisors (see below), whose sum is σ = 672620640. Its totient is φ = 86788800.

The previous prime is 253135397. The next prime is 253135411. The reversal of 253135400 is 4531352.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89006 + ... + 91805.

It is an arithmetic number, because the mean of its divisors is an integer number (14012930).

Almost surely, 2253135400 is an apocalyptic number.

253135400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253135400 is an abundant number, since it is smaller than the sum of its proper divisors (419485240).

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

253135400 is a wasteful number, since it uses less digits than its factorization.

253135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180834 (or 180825 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 253135400 is about 15910.2294138080. The cubic root of 253135400 is about 632.5831622648.

Adding to 253135400 its reverse (4531352), we get a palindrome (257666752).

The spelling of 253135400 in words is "two hundred fifty-three million, one hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 180811 361622 723244 904055 1265677 1446488 1808110 2531354 3616220 4520275 5062708 6328385 7232440 9040550 10125416 12656770 18081100 25313540 31641925 36162200 50627080 63283850 126567700 253135400