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212430060 = 22335616449
BaseRepresentation
bin11001010100101…
…10110011101100
3112210201120021000
430222112303230
5413340230220
633025040300
75156424423
oct1452266354
9483646230
10212430060
11a9a02937
125b186090
1335019c7b
14202da2ba
15139b2390
hexca96cec

212430060 has 96 divisors (see below), whose sum is σ = 671832000. Its totient is φ = 55710720.

The previous prime is 212430037. The next prime is 212430077. The reversal of 212430060 is 60034212.

It is a happy number.

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

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, 29716 + ... + 36164.

It is an arithmetic number, because the mean of its divisors is an integer number (6998250).

Almost surely, 2212430060 is an apocalyptic number.

212430060 is a gapful number since it is divisible by the number (20) 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 212430060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335916000).

212430060 is an abundant number, since it is smaller than the sum of its proper divisors (459401940).

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

212430060 is a wasteful number, since it uses less digits than its factorization.

212430060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212430060 is about 14574.9806174828. The cubic root of 212430060 is about 596.6761203763.

Adding to 212430060 its reverse (60034212), we get a palindrome (272464272).

The spelling of 212430060 in words is "two hundred twelve million, four hundred thirty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1220 1647 1830 2196 2745 3294 3660 5490 6449 6588 8235 10980 12898 16470 19347 25796 32245 32940 38694 58041 64490 77388 96735 116082 128980 174123 193470 232164 290205 348246 386940 393389 580410 696492 786778 870615 1160820 1180167 1573556 1741230 1966945 2360334 3482460 3540501 3933890 4720668 5900835 7081002 7867780 10621503 11801670 14162004 17702505 21243006 23603340 35405010 42486012 53107515 70810020 106215030 212430060