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2071648 = 25411579
BaseRepresentation
bin111111001110001100000
310220020202201
413321301200
51012243043
6112222544
723415535
oct7716140
93806681
102071648
111195507
1283aa54
13576c37
143bcd8c
152adc4d
hex1f9c60

2071648 has 24 divisors (see below), whose sum is σ = 4180680. Its totient is φ = 1009920.

The previous prime is 2071631. The next prime is 2071649. The reversal of 2071648 is 8461702.

2071648 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (2071649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 523 + ... + 2101.

It is an arithmetic number, because the mean of its divisors is an integer number (174195).

22071648 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 2071648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090340).

2071648 is an abundant number, since it is smaller than the sum of its proper divisors (2109032).

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

2071648 is a wasteful number, since it uses less digits than its factorization.

2071648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2071648 is about 1439.3220626392. The cubic root of 2071648 is about 127.4790020527.

The spelling of 2071648 in words is "two million, seventy-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1579 3158 6316 12632 25264 50528 64739 129478 258956 517912 1035824 2071648