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211680 = 2533572
BaseRepresentation
bin110011101011100000
3101202101000
4303223200
523233210
64312000
71541100
oct635340
9352330
10211680
11135047
12a2600
1375471
1457200
1542ac0
hex33ae0

211680 has 144 divisors (see below), whose sum is σ = 861840. Its totient is φ = 48384.

The previous prime is 211663. The next prime is 211681. The reversal of 211680 is 86112.

211680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211681) by changing a digit.

211680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30237 + ... + 30243.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2211680 is an apocalyptic number.

211680 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 211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920).

211680 is an abundant number, since it is smaller than the sum of its proper divisors (650160).

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

211680 is a wasteful number, since it uses less digits than its factorization.

211680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 211680 is about 460.0869483043. The cubic root of 211680 is about 59.5973033028.

Adding to 211680 its reverse (86112), we get a palindrome (297792).

The spelling of 211680 in words is "two hundred eleven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 70 72 80 84 90 96 98 105 108 112 120 126 135 140 144 147 160 168 180 189 196 210 216 224 240 245 252 270 280 288 294 315 336 360 378 392 420 432 441 480 490 504 540 560 588 630 672 720 735 756 784 840 864 882 945 980 1008 1080 1120 1176 1260 1323 1440 1470 1512 1568 1680 1764 1890 1960 2016 2160 2205 2352 2520 2646 2940 3024 3360 3528 3780 3920 4320 4410 4704 5040 5292 5880 6048 6615 7056 7560 7840 8820 10080 10584 11760 13230 14112 15120 17640 21168 23520 26460 30240 35280 42336 52920 70560 105840 211680