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11340 = 223457
BaseRepresentation
bin10110001001100
3120120000
42301030
5330330
6124300
745030
oct26114
916500
1011340
11857a
126690
135214
1441c0
153560
hex2c4c

11340 has 60 divisors (see below), whose sum is σ = 40656. Its totient is φ = 2592.

The previous prime is 11329. The next prime is 11351. The reversal of 11340 is 4311.

Adding to 11340 its reverse (4311), we get a palindrome (15651).

It can be divided in two parts, 113 and 40, that added together give a triangular number (153 = T17).

It is an interprime number because it is at equal distance from previous prime (11329) and next prime (11351).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

11340 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 19 ways as a sum of consecutive naturals, for example, 1617 + ... + 1623.

211340 is an apocalyptic number.

11340 is a gapful number since it is divisible by the number (10) 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 11340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20328).

11340 is an abundant number, since it is smaller than the sum of its proper divisors (29316).

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

11340 is a wasteful number, since it uses less digits than its factorization.

11340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11340 is about 106.4894360958. The cubic root of 11340 is about 22.4666171617.

The spelling of 11340 in words is "eleven thousand, three hundred forty", and thus it is an iban number.

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