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6684480 = 2632511211
BaseRepresentation
bin11001011111111101000000
3110120121101100
4121133331000
53202400410
6355134400
7110550165
oct31377500
913517340
106684480
113856170
1222a4400
13150071a
14c6006c
158c08c0
hex65ff40

6684480 has 168 divisors, whose sum is σ = 25200864. Its totient is φ = 1612800.

The previous prime is 6684473. The next prime is 6684493. The reversal of 6684480 is 844866.

6684480 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31575 + ... + 31785.

Almost surely, 26684480 is an apocalyptic number.

6684480 is a gapful number since it is divisible by the number (60) 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 6684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600432).

6684480 is an abundant number, since it is smaller than the sum of its proper divisors (18516384).

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

6684480 is a wasteful number, since it uses less digits than its factorization.

6684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6684480 is about 2585.4361334212. The cubic root of 6684480 is about 188.3746865797.

It can be divided in two parts, 6 and 684480, that added together give a palindrome (684486).

The spelling of 6684480 in words is "six million, six hundred eighty-four thousand, four hundred eighty".