Search a number
-
+
512140512 = 253134110009
BaseRepresentation
bin11110100001101…
…010010011100000
31022200200102201010
4132201222103200
52022101444022
6122452540520
715456060012
oct3641522340
91280612633
10512140512
112430a9824
12123621740
1382146030
144c0361b2
152ee6550c
hex1e86a4e0

512140512 has 96 divisors (see below), whose sum is σ = 1483241760. Its totient is φ = 153722880.

The previous prime is 512140507. The next prime is 512140513. The reversal of 512140512 is 215041215.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512140513) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46164 + ... + 56172.

It is an arithmetic number, because the mean of its divisors is an integer number (15450435).

Almost surely, 2512140512 is an apocalyptic number.

512140512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512140512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741620880).

512140512 is an abundant number, since it is smaller than the sum of its proper divisors (971101248).

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

512140512 is a wasteful number, since it uses less digits than its factorization.

512140512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10076 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 512140512 is about 22630.5216908493. The cubic root of 512140512 is about 800.0731766396.

Adding to 512140512 its reverse (215041215), we get a palindrome (727181727).

The spelling of 512140512 in words is "five hundred twelve million, one hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 78 82 96 104 123 156 164 208 246 312 328 416 492 533 624 656 984 1066 1248 1312 1599 1968 2132 3198 3936 4264 6396 8528 10009 12792 17056 20018 25584 30027 40036 51168 60054 80072 120108 130117 160144 240216 260234 320288 390351 410369 480432 520468 780702 820738 960864 1040936 1231107 1561404 1641476 2081872 2462214 3122808 3282952 4163744 4924428 5334797 6245616 6565904 9848856 10669594 12491232 13131808 16004391 19697712 21339188 32008782 39395424 42678376 64017564 85356752 128035128 170713504 256070256 512140512