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2080768 = 214127
BaseRepresentation
bin111111100000000000000
310220201021111
413330000000
51013041033
6112333104
723454244
oct7740000
93821244
102080768
1111a1348
12844194
1357b131
143c2424
152b17cd
hex1fc000

2080768 has 30 divisors (see below), whose sum is σ = 4194176. Its totient is φ = 1032192.

The previous prime is 2080763. The next prime is 2080777. The reversal of 2080768 is 8670802.

It is a nialpdrome in base 2 and base 8.

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 (2080763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16321 + ... + 16447.

22080768 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 2080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097088).

2080768 is an abundant number, since it is smaller than the sum of its proper divisors (2113408).

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

2080768 is an frugal number, since it uses more digits than its factorization.

2080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 2080768 is about 1442.4867417068. The cubic root of 2080768 is about 127.6657948238.

The spelling of 2080768 in words is "two million, eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 1024 2032 2048 4064 4096 8128 8192 16256 16384 32512 65024 130048 260096 520192 1040384 2080768