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2012326560 = 253253161739
BaseRepresentation
bin111011111110001…
…1010101010100000
312012020112210002100
41313330122222200
513110123422220
6531403050400
7100603331166
oct16774325240
95166483070
102012326560
119429a6802
12481b10a00
13260ba1b9a
14151387236
15bb9e9d90
hex77f1aaa0

2012326560 has 288 divisors, whose sum is σ = 7214538240. Its totient is φ = 510105600.

The previous prime is 2012326543. The next prime is 2012326577. The reversal of 2012326560 is 656232102.

2012326560 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 3 + 2 + 656 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2012326543) and next prime (2012326577).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2722671 + ... + 2723409.

It is an arithmetic number, because the mean of its divisors is an integer number (25050480).

Almost surely, 22012326560 is an apocalyptic number.

2012326560 is a gapful number since it is divisible by the number (20) 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 2012326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607269120).

2012326560 is an abundant number, since it is smaller than the sum of its proper divisors (5202211680).

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

2012326560 is a wasteful number, since it uses less digits than its factorization.

2012326560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2012326560 is about 44858.9629840013. The cubic root of 2012326560 is about 1262.5041657216.

Adding to 2012326560 its reverse (656232102), we get a palindrome (2668558662).

The spelling of 2012326560 in words is "two billion, twelve million, three hundred twenty-six thousand, five hundred sixty".