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213861060 = 22345718859
BaseRepresentation
bin11001011111101…
…00001011000100
3112220102021020000
430233310023010
5414222023220
633115441300
75204534430
oct1457641304
9486367200
10213861060
11aa79aa86
125b756230
13353cb40a
142058d9c0
1513b96390
hexcbf42c4

213861060 has 120 divisors (see below), whose sum is σ = 766772160. Its totient is φ = 48879936.

The previous prime is 213861049. The next prime is 213861077. The reversal of 213861060 is 60168312.

213861060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1911 + ... + 20769.

It is an arithmetic number, because the mean of its divisors is an integer number (6389768).

Almost surely, 2213861060 is an apocalyptic number.

213861060 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 213861060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383386080).

213861060 is an abundant number, since it is smaller than the sum of its proper divisors (552911100).

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

213861060 is a wasteful number, since it uses less digits than its factorization.

213861060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18887 (or 18876 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 213861060 is about 14623.9891958385. The cubic root of 213861060 is about 598.0129264962.

The spelling of 213861060 in words is "two hundred thirteen million, eight hundred sixty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 18859 37718 56577 75436 94295 113154 132013 169731 188590 226308 264026 282885 339462 377180 396039 509193 528052 565770 660065 678924 792078 848655 1018386 1131540 1188117 1320130 1527579 1584156 1697310 1980195 2036772 2376234 2545965 2640260 3055158 3394620 3564351 3960390 4752468 5091930 5940585 6110316 7128702 7637895 7920780 10183860 10693053 11881170 14257404 15275790 17821755 21386106 23762340 30551580 35643510 42772212 53465265 71287020 106930530 213861060