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2071664 = 24753349
BaseRepresentation
bin111111001110001110000
310220020210022
413321301300
51012243124
6112223012
723415560
oct7716160
93806708
102071664
111195521
1283aa68
13576c4a
143bcda0
152adc5e
hex1f9c70

2071664 has 40 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 868608.

The previous prime is 2071661. The next prime is 2071669. The reversal of 2071664 is 4661702.

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 (2071661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5762 + ... + 6110.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22071664 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 2071664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

2071664 is an abundant number, since it is smaller than the sum of its proper divisors (2615536).

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

2071664 is a wasteful number, since it uses less digits than its factorization.

2071664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 2071664 is about 1439.3276208008. The cubic root of 2071664 is about 127.4793302389.

The spelling of 2071664 in words is "two million, seventy-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 349 371 424 698 742 848 1396 1484 2443 2792 2968 4886 5584 5936 9772 18497 19544 36994 39088 73988 129479 147976 258958 295952 517916 1035832 2071664