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253005130 = 25721972621
BaseRepresentation
bin11110001010010…
…00110101001010
3122122001222210101
433011020311022
51004232131010
641034440014
76161336200
oct1705106512
9578058711
10253005130
1111a8a6554
127089300a
13405554a1
142585d070
151732973a
hexf148d4a

253005130 has 48 divisors (see below), whose sum is σ = 532654056. Its totient is φ = 86271360.

The previous prime is 253005119. The next prime is 253005143. The reversal of 253005130 is 31500352.

It can be written as a sum of positive squares in 4 ways, for example, as 252714609 + 290521 = 15897^2 + 539^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253005098 and 253005107.

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 23 ways as a sum of consecutive naturals, for example, 95220 + ... + 97840.

Almost surely, 2253005130 is an apocalyptic number.

253005130 is an abundant number, since it is smaller than the sum of its proper divisors (279648926).

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

253005130 is a wasteful number, since it uses less digits than its factorization.

253005130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 253005130 is about 15906.1349799378. The cubic root of 253005130 is about 632.4746291125.

Adding to 253005130 its reverse (31500352), we get a palindrome (284505482).

The spelling of 253005130 in words is "two hundred fifty-three million, five thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 197 245 394 490 985 1379 1970 2621 2758 5242 6895 9653 13105 13790 18347 19306 26210 36694 48265 91735 96530 128429 183470 256858 516337 642145 1032674 1284290 2581685 3614359 5163370 7228718 18071795 25300513 36143590 50601026 126502565 253005130