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2021968 = 24139721
BaseRepresentation
bin111101101101001010000
310210201121201
413231221100
51004200333
6111200544
723120644
oct7555120
93721551
102021968
111161153
12816154
1355a440
143a8c24
1529e17d
hex1eda50

2021968 has 20 divisors (see below), whose sum is σ = 4219348. Its totient is φ = 933120.

The previous prime is 2021959. The next prime is 2022011. The reversal of 2021968 is 8691202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 150544 + 1871424 = 388^2 + 1368^2 .

It is a congruent number.

It is an unprimeable number.

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, 4653 + ... + 5068.

22021968 is an apocalyptic number.

It is an amenable number.

2021968 is an abundant number, since it is smaller than the sum of its proper divisors (2197380).

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

2021968 is a wasteful number, since it uses less digits than its factorization.

2021968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9742 (or 9736 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2021968 is about 1421.9592117920. The cubic root of 2021968 is about 126.4517253451.

The spelling of 2021968 in words is "two million, twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 9721 19442 38884 77768 126373 155536 252746 505492 1010984 2021968