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1006464 = 2732621
BaseRepresentation
bin11110101101110000000
31220010121110
43311232000
5224201324
633323320
711361204
oct3655600
91803543
101006464
11628198
12406540
13293154
141c2b04
1514d329
hexf5b80

1006464 has 32 divisors (see below), whose sum is σ = 2674440. Its totient is φ = 335360.

The previous prime is 1006463. The next prime is 1006469. The reversal of 1006464 is 4646001.

1006464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1006464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006463) 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, 927 + ... + 1694.

21006464 is an apocalyptic number.

It is an amenable number.

1006464 is an abundant number, since it is smaller than the sum of its proper divisors (1667976).

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

1006464 is an equidigital number, since it uses as much as digits as its factorization.

1006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1006464 is about 1003.2267939006. The cubic root of 1006464 is about 100.2150040679.

The spelling of 1006464 in words is "one million, six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2621 5242 7863 10484 15726 20968 31452 41936 62904 83872 125808 167744 251616 335488 503232 1006464