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6504 = 233271
BaseRepresentation
bin1100101101000
322220220
41211220
5202004
650040
724651
oct14550
98826
106504
114983
123920
132c64
142528
151dd9
hex1968

6504 has 16 divisors (see below), whose sum is σ = 16320. Its totient is φ = 2160.

The previous prime is 6491. The next prime is 6521. The reversal of 6504 is 4056.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112 + ... + 159.

It is an arithmetic number, because the mean of its divisors is an integer number (1020).

26504 is an apocalyptic number.

It is an amenable number.

6504 is an abundant number, since it is smaller than the sum of its proper divisors (9816).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160).

6504 is a wasteful number, since it uses less digits than its factorization.

6504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 6504 is about 80.6473806146. The cubic root of 6504 is about 18.6663832157. Note that the first 3 decimals are identical.

The spelling of 6504 in words is "six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 271 542 813 1084 1626 2168 3252 6504