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8064640 = 27512601
BaseRepresentation
bin11110110000111010000000
3120011201121101
4132300322000
54031032030
6444504144
7125356033
oct36607200
916151541
108064640
1146090a1
12284b054
13189499c
1410dd01a
15a947ca
hex7b0e80

8064640 has 32 divisors (see below), whose sum is σ = 19281060. Its totient is φ = 3225600.

The previous prime is 8064601. The next prime is 8064653. The reversal of 8064640 is 464608.

It can be written as a sum of positive squares in 2 ways, for example, as 7884864 + 179776 = 2808^2 + 424^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 8064599 and 8064608.

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, 5661 + ... + 6940.

Almost surely, 28064640 is an apocalyptic number.

8064640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8064640 is an abundant number, since it is smaller than the sum of its proper divisors (11216420).

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

8064640 is a wasteful number, since it uses less digits than its factorization.

8064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12620 (or 12608 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 8064640 is about 2839.8309808860. The cubic root of 8064640 is about 200.5372223354.

The spelling of 8064640 in words is "eight million, sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 12601 25202 50404 63005 100808 126010 201616 252020 403232 504040 806464 1008080 1612928 2016160 4032320 8064640