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2071168 = 27111471
BaseRepresentation
bin111111001101010000000
310220020002221
413321222000
51012234133
6112220424
723414251
oct7715200
93806087
102071168
111195110
1283a714
13576958
143bcb28
152ada2d
hex1f9a80

2071168 has 32 divisors (see below), whose sum is σ = 4504320. Its totient is φ = 940800.

The previous prime is 2071159. The next prime is 2071169. The reversal of 2071168 is 8611702.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2071169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 673 + ... + 2143.

It is an arithmetic number, because the mean of its divisors is an integer number (140760).

22071168 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 2071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252160).

2071168 is an abundant number, since it is smaller than the sum of its proper divisors (2433152).

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

2071168 is a wasteful number, since it uses less digits than its factorization.

2071168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 2071168 is about 1439.1553078108. The cubic root of 2071168 is about 127.4691556812.

The spelling of 2071168 in words is "two million, seventy-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1471 2942 5884 11768 16181 23536 32362 47072 64724 94144 129448 188288 258896 517792 1035584 2071168