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6480072 = 233290001
BaseRepresentation
bin11000101110000011001000
3110012012222200
4120232003020
53124330242
6350520200
7106036224
oct30560310
913165880
106480072
113726635
122206060
13145b681
14c09784
1588004c
hex62e0c8

6480072 has 24 divisors (see below), whose sum is σ = 17550390. Its totient is φ = 2160000.

The previous prime is 6480053. The next prime is 6480107. The reversal of 6480072 is 2700846.

It can be written as a sum of positive squares in only one way, i.e., 3261636 + 3218436 = 1806^2 + 1794^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44929 + ... + 45072.

Almost surely, 26480072 is an apocalyptic number.

It is an amenable number.

6480072 is an abundant number, since it is smaller than the sum of its proper divisors (11070318).

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

6480072 is a wasteful number, since it uses less digits than its factorization.

6480072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90013 (or 90006 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6480072 is about 2545.5985543679. The cubic root of 6480072 is about 186.4346408508.

It can be divided in two parts, 64800 and 72, that multiplied together give a square (4665600 = 21602).

The spelling of 6480072 in words is "six million, four hundred eighty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 90001 180002 270003 360004 540006 720008 810009 1080012 1620018 2160024 3240036 6480072