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18480 = 2435711
BaseRepresentation
bin100100000110000
3221100110
410200300
51042410
6221320
7104610
oct44060
927313
1018480
1112980
12a840
138547
146a40
155720
hex4830

18480 has 80 divisors (see below), whose sum is σ = 71424. Its totient is φ = 3840.

The previous prime is 18461. The next prime is 18481. The reversal of 18480 is 8481.

Subtracting from 18480 its reverse (8481), we obtain a palindrome (9999).

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

It is a super-3 number, since 3×184803 = 18933336576000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18481) by changing a digit.

18480 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 15 ways as a sum of consecutive naturals, for example, 1675 + ... + 1685.

218480 is an apocalyptic number.

18480 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 18480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712).

18480 is an abundant number, since it is smaller than the sum of its proper divisors (52944).

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

18480 is a wasteful number, since it uses less digits than its factorization.

18480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 18480 is about 135.9411637437. The cubic root of 18480 is about 26.4383281657.

The spelling of 18480 in words is "eighteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480