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518023080 = 233352272113
BaseRepresentation
bin11110111000000…
…110011110101000
31100002202022002000
4132320012132220
52030103214310
6123223011000
715560060241
oct3670063650
91302668060
10518023080
11246457453
12125599a60
1383425743
144cb27cc8
15307284c0
hex1ee067a8

518023080 has 128 divisors (see below), whose sum is σ = 1735171200. Its totient is φ = 137465856.

The previous prime is 518023067. The next prime is 518023081. The reversal of 518023080 is 80320815.

It is a happy number.

It is a super-2 number, since 2×5180230802 = 536695822825372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (518023081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244104 + ... + 246216.

It is an arithmetic number, because the mean of its divisors is an integer number (13556025).

Almost surely, 2518023080 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 518023080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867585600).

518023080 is an abundant number, since it is smaller than the sum of its proper divisors (1217148120).

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

518023080 is a wasteful number, since it uses less digits than its factorization.

518023080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 518023080 is about 22760.1203863248. The cubic root of 518023080 is about 803.1247994771.

Adding to 518023080 its reverse (80320815), we get a palindrome (598343895).

The spelling of 518023080 in words is "five hundred eighteen million, twenty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 227 270 360 454 540 681 908 1080 1135 1362 1816 2043 2113 2270 2724 3405 4086 4226 4540 5448 6129 6339 6810 8172 8452 9080 10215 10565 12258 12678 13620 16344 16904 19017 20430 21130 24516 25356 27240 30645 31695 38034 40860 42260 49032 50712 57051 61290 63390 76068 81720 84520 95085 114102 122580 126780 152136 190170 228204 245160 253560 285255 380340 456408 479651 570510 760680 959302 1141020 1438953 1918604 2282040 2398255 2877906 3837208 4316859 4796510 5755812 7194765 8633718 9593020 11511624 12950577 14389530 17267436 19186040 21584295 25901154 28779060 34534872 43168590 51802308 57558120 64752885 86337180 103604616 129505770 172674360 259011540 518023080