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2168064 = 2832941
BaseRepresentation
bin1000010001010100000000
311002011000200
420101110000
51023334224
6114245200
724266613
oct10212400
94064020
102168064
111250998
12886800
135abaa2
1440617a
152cc5c9
hex211500

2168064 has 54 divisors (see below), whose sum is σ = 6257706. Its totient is φ = 721920.

The previous prime is 2168059. The next prime is 2168081. The reversal of 2168064 is 4608612.

It can be written as a sum of positive squares in only one way, i.e., 1937664 + 230400 = 1392^2 + 480^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1834 + ... + 2774.

22168064 is an apocalyptic number.

2168064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128853).

2168064 is an abundant number, since it is smaller than the sum of its proper divisors (4089642).

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

2168064 is an equidigital number, since it uses as much as digits as its factorization.

2168064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2168064 is about 1472.4347184171. The cubic root of 2168064 is about 129.4267460861.

The spelling of 2168064 in words is "two million, one hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 941 1152 1882 2304 2823 3764 5646 7528 8469 11292 15056 16938 22584 30112 33876 45168 60224 67752 90336 120448 135504 180672 240896 271008 361344 542016 722688 1084032 2168064