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512214120 = 2332511129347
BaseRepresentation
bin11110100001111…
…100010001101000
31022200211011200100
4132201330101220
52022111322440
6122454305400
715456514425
oct3641742150
91280734610
10512214120
1124314a060
12123658260
13821706a2
144c054d4c
152ee7c230
hex1e87c468

512214120 has 96 divisors (see below), whose sum is σ = 1816045920. Its totient is φ = 124172160.

The previous prime is 512214091. The next prime is 512214121. The reversal of 512214120 is 21412215.

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

It is a junction number, because it is equal to n+sod(n) for n = 512214093 and 512214102.

It is not an unprimeable number, because it can be changed into a prime (512214121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60714 + ... + 68633.

It is an arithmetic number, because the mean of its divisors is an integer number (18917145).

Almost surely, 2512214120 is an apocalyptic number.

It is an amenable number.

512214120 is an abundant number, since it is smaller than the sum of its proper divisors (1303831800).

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

512214120 is a wasteful number, since it uses less digits than its factorization.

512214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129375 (or 129368 counting only the distinct ones).

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

The square root of 512214120 is about 22632.1479316480. The cubic root of 512214120 is about 800.1115052908. Note that the first 3 decimals are identical.

Adding to 512214120 its reverse (21412215), we get a palindrome (533626335).

The spelling of 512214120 in words is "five hundred twelve million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 129347 258694 388041 517388 646735 776082 1034776 1164123 1293470 1422817 1552164 1940205 2328246 2586940 2845634 3104328 3880410 4268451 4656492 5173880 5691268 5820615 7114085 7760820 8536902 9312984 11382536 11641230 12805353 14228170 15521640 17073804 21342255 23282460 25610706 28456340 34147608 42684510 46564920 51221412 56912680 64026765 85369020 102442824 128053530 170738040 256107060 512214120