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6480704 = 26109929
BaseRepresentation
bin11000101110001101000000
3110012020212002
4120232031000
53124340304
6350523132
7106041116
oct30561500
913166762
106480704
11372705a
1222064a8
13145ba49
14c09ab6
1588031e
hex62e340

6480704 has 28 divisors (see below), whose sum is σ = 12992100. Its totient is φ = 3207168.

The previous prime is 6480697. The next prime is 6480707. The reversal of 6480704 is 4070846.

It can be written as a sum of positive squares in 2 ways, for example, as 1849600 + 4631104 = 1360^2 + 2152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6480707) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6512 + ... + 7440.

Almost surely, 26480704 is an apocalyptic number.

6480704 is a gapful number since it is divisible by the number (64) 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 6480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6496050).

6480704 is an abundant number, since it is smaller than the sum of its proper divisors (6511396).

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

6480704 is a wasteful number, since it uses less digits than its factorization.

6480704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 6480704 is about 2545.7226871755. The cubic root of 6480704 is about 186.4407016303.

The spelling of 6480704 in words is "six million, four hundred eighty thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 929 1744 1858 3488 3716 6976 7432 14864 29728 59456 101261 202522 405044 810088 1620176 3240352 6480704