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512412012 = 223272793677
BaseRepresentation
bin11110100010101…
…100100101101100
31022201012020010200
4132202230211230
52022134141022
6122502433500
715461300400
oct3642544554
91281166120
10512412012
11243274802
12123732890
138220c798
144c0a7100
152eebabac
hex1e8ac96c

512412012 has 108 divisors (see below), whose sum is σ = 1526222880. Its totient is φ = 144510912.

The previous prime is 512411983. The next prime is 512412013. The reversal of 512412012 is 210214215.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (512412013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137518 + ... + 141194.

Almost surely, 2512412012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512412012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763111440).

512412012 is an abundant number, since it is smaller than the sum of its proper divisors (1013810868).

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

512412012 is a wasteful number, since it uses less digits than its factorization.

512412012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 512412012 is about 22636.5194321035. The cubic root of 512412012 is about 800.2145320482.

Adding to 512412012 its reverse (210214215), we get a palindrome (722626227).

The spelling of 512412012 in words is "five hundred twelve million, four hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 79 84 98 126 147 158 196 237 252 294 316 441 474 553 588 711 882 948 1106 1422 1659 1764 2212 2844 3318 3677 3871 4977 6636 7354 7742 9954 11031 11613 14708 15484 19908 22062 23226 25739 33093 34839 44124 46452 51478 66186 69678 77217 102956 132372 139356 154434 180173 231651 290483 308868 360346 463302 540519 580966 720692 871449 926604 1081038 1161932 1621557 1742898 2033381 2162076 2614347 3243114 3485796 4066762 5228694 6100143 6486228 8133524 10457388 12200286 14233667 18300429 24400572 28467334 36600858 42701001 56934668 73201716 85402002 128103003 170804004 256206006 512412012