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512642120 = 23512816053
BaseRepresentation
bin11110100011100…
…100110001001000
31022201121220210012
4132203210301020
52022214021440
6122511411052
715463246304
oct3643446110
91281556705
10512642120
11243411681
12123823a88
1382290443
144c126d04
1530013e65
hex1e8e4c48

512642120 has 16 divisors (see below), whose sum is σ = 1153444860. Its totient is φ = 205056832.

The previous prime is 512642111. The next prime is 512642153. The reversal of 512642120 is 21246215.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 506160004 + 6482116 = 22498^2 + 2546^2 .

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 3 ways as a sum of consecutive naturals, for example, 6407987 + ... + 6408066.

Almost surely, 2512642120 is an apocalyptic number.

It is an amenable number.

512642120 is an abundant number, since it is smaller than the sum of its proper divisors (640802740).

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

512642120 is a wasteful number, since it uses less digits than its factorization.

512642120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12816064 (or 12816060 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 512642120 is about 22641.6015334605. The cubic root of 512642120 is about 800.3342977868.

Adding to 512642120 its reverse (21246215), we get a palindrome (533888335).

The spelling of 512642120 in words is "five hundred twelve million, six hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 12816053 25632106 51264212 64080265 102528424 128160530 256321060 512642120