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8480 = 25553
BaseRepresentation
bin10000100100000
3102122002
42010200
5232410
6103132
733503
oct20440
912562
108480
11640a
124aa8
133b24
14313a
1527a5
hex2120

8480 has 24 divisors (see below), whose sum is σ = 20412. Its totient is φ = 3328.

The previous prime is 8467. The next prime is 8501. The reversal of 8480 is 848.

It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 16 = 92^2 + 4^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

8480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134 + ... + 186.

28480 is an apocalyptic number.

8480 is a gapful number since it is divisible by the number (80) 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 8480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10206).

8480 is an abundant number, since it is smaller than the sum of its proper divisors (11932).

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

8480 is a wasteful number, since it uses less digits than its factorization.

8480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 8480 is about 92.0869154658. The cubic root of 8480 is about 20.3922564484.

8480 divided by its sum of digits (20) gives a palindrome (424).

The spelling of 8480 in words is "eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480