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512170020 = 223354432141
BaseRepresentation
bin11110100001110…
…001100000100100
31022200201221012000
4132201301200210
52022103420040
6122453325300
715456242025
oct3641614044
91280657160
10512170020
11243119a0a
12123636830
13821565ab
144c042c4c
152ee6e130
hex1e871824

512170020 has 96 divisors (see below), whose sum is σ = 1597760640. Its totient is φ = 136206720.

The previous prime is 512170007. The next prime is 512170031. The reversal of 512170020 is 20071215.

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 = 512169975 and 512170002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238150 + ... + 240290.

It is an arithmetic number, because the mean of its divisors is an integer number (16643340).

Almost surely, 2512170020 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 512170020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798880320).

512170020 is an abundant number, since it is smaller than the sum of its proper divisors (1085590620).

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

512170020 is a wasteful number, since it uses less digits than its factorization.

512170020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 512170020 is about 22631.1736328455. The cubic root of 512170020 is about 800.0885422833.

The spelling of 512170020 in words is "five hundred twelve million, one hundred seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 443 540 886 1329 1772 2141 2215 2658 3987 4282 4430 5316 6423 6645 7974 8564 8860 10705 11961 12846 13290 15948 19269 19935 21410 23922 25692 26580 32115 38538 39870 42820 47844 57807 59805 64230 77076 79740 96345 115614 119610 128460 192690 231228 239220 289035 385380 578070 948463 1156140 1896926 2845389 3793852 4742315 5690778 8536167 9484630 11381556 14226945 17072334 18969260 25608501 28453890 34144668 42680835 51217002 56907780 85361670 102434004 128042505 170723340 256085010 512170020