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213360 = 24357127
BaseRepresentation
bin110100000101110000
3101211200020
4310011300
523311420
64323440
71546020
oct640560
9354606
10213360
11136334
12a3580
1376164
1457a80
1543340
hex34170

213360 has 80 divisors (see below), whose sum is σ = 761856. Its totient is φ = 48384.

The previous prime is 213359. The next prime is 213361. The reversal of 213360 is 63312.

It is an interprime number because it is at equal distance from previous prime (213359) and next prime (213361).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1617 + ... + 1743.

2213360 is an apocalyptic number.

213360 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 213360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380928).

213360 is an abundant number, since it is smaller than the sum of its proper divisors (548496).

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

213360 is a wasteful number, since it uses less digits than its factorization.

213360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 213360 is about 461.9090819631. The cubic root of 213360 is about 59.7545528530.

Adding to 213360 its reverse (63312), we get a palindrome (276672).

The spelling of 213360 in words is "two hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 127 140 168 210 240 254 280 336 381 420 508 560 635 762 840 889 1016 1270 1524 1680 1778 1905 2032 2540 2667 3048 3556 3810 4445 5080 5334 6096 7112 7620 8890 10160 10668 13335 14224 15240 17780 21336 26670 30480 35560 42672 53340 71120 106680 213360