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1045664 = 2541797
BaseRepresentation
bin11111111010010100000
31222010101022
43333102200
5231430124
634225012
711613404
oct3772240
91863338
101045664
11654694
12425168
132a7c49
141d3104
15159c5e
hexff4a0

1045664 has 24 divisors (see below), whose sum is σ = 2111508. Its totient is φ = 509440.

The previous prime is 1045663. The next prime is 1045679. The reversal of 1045664 is 4665401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 960400 + 85264 = 980^2 + 292^2 .

It is not an unprimeable number, because it can be changed into a prime (1045663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 914 + ... + 1710.

21045664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055754).

1045664 is an abundant number, since it is smaller than the sum of its proper divisors (1065844).

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

1045664 is an equidigital number, since it uses as much as digits as its factorization.

1045664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1045664 is about 1022.5771364548. The cubic root of 1045664 is about 101.4995348891.

The spelling of 1045664 in words is "one million, forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 797 1312 1594 3188 6376 12752 25504 32677 65354 130708 261416 522832 1045664