Search a number
-
+
300135200 = 2552375169
BaseRepresentation
bin10001111000111…
…011001100100000
3202220202110002112
4101320323030200
51103313311300
645440534452
710303051511
oct2170731440
9686673075
10300135200
11144467022
1284621428
134a2474c1
142bc0aa08
151b538e35
hex11e3b320

300135200 has 36 divisors (see below), whose sum is σ = 732707010. Its totient is φ = 120053760.

The previous prime is 300135197. The next prime is 300135223. The reversal of 300135200 is 2531003.

It can be written as a sum of positive squares in 3 ways, for example, as 290225296 + 9909904 = 17036^2 + 3148^2 .

It is a super-2 number, since 2×3001352002 = 180162276558080000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 186785 + ... + 188384.

Almost surely, 2300135200 is an apocalyptic number.

It is an amenable number.

300135200 is an abundant number, since it is smaller than the sum of its proper divisors (432571810).

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

300135200 is a wasteful number, since it uses less digits than its factorization.

300135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375189 (or 375176 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 300135200 is about 17324.4105238822. The cubic root of 300135200 is about 669.5334986844.

Adding to 300135200 its reverse (2531003), we get a palindrome (302666203).

The spelling of 300135200 in words is "three hundred million, one hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 375169 750338 1500676 1875845 3001352 3751690 6002704 7503380 9379225 12005408 15006760 18758450 30013520 37516900 60027040 75033800 150067600 300135200