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12480 = 263513
BaseRepresentation
bin11000011000000
3122010020
43003000
5344410
6133440
751246
oct30300
918106
1012480
119416
127280
1358b0
144796
153a70
hex30c0

12480 has 56 divisors (see below), whose sum is σ = 42672. Its totient is φ = 3072.

The previous prime is 12479. The next prime is 12487. The reversal of 12480 is 8421.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 954 + ... + 966.

It is an arithmetic number, because the mean of its divisors is an integer number (762).

212480 is an apocalyptic number.

12480 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 12480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21336).

12480 is an abundant number, since it is smaller than the sum of its proper divisors (30192).

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

12480 is a wasteful number, since it uses less digits than its factorization.

12480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12480 is about 111.7139203502. The cubic root of 12480 is about 23.1955599906.

Adding to 12480 its product of nonzero digits (64), we get a square (12544 = 1122).

The spelling of 12480 in words is "twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480