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1048064 = 292389
BaseRepresentation
bin11111111111000000000
31222020200012
43333320000
5232014224
634244052
711623403
oct3777000
91866605
101048064
11656476
12426628
132a9074
141d3d3a
1515a80e
hexffe00

1048064 has 40 divisors (see below), whose sum is σ = 2209680. Its totient is φ = 495616.

The previous prime is 1048063. The next prime is 1048123. The reversal of 1048064 is 4608401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048063) 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, 11732 + ... + 11820.

It is an arithmetic number, because the mean of its divisors is an integer number (55242).

21048064 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 1048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104840).

1048064 is an abundant number, since it is smaller than the sum of its proper divisors (1161616).

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

1048064 is an frugal number, since it uses more digits than its factorization.

1048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1048064 is about 1023.7499694750. The cubic root of 1048064 is about 101.5771292063.

The spelling of 1048064 in words is "one million, forty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 256 356 368 512 712 736 1424 1472 2047 2848 2944 4094 5696 5888 8188 11392 11776 16376 22784 32752 45568 65504 131008 262016 524032 1048064