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2053840 = 24525673
BaseRepresentation
bin111110101011011010000
310212100100011
413311123100
51011210330
6112004304
723312605
oct7653320
93770304
102053840
111183098
12830694
1356bab9
143b66ac
152a882a
hex1f56d0

2053840 has 20 divisors (see below), whose sum is σ = 4775364. Its totient is φ = 821504.

The previous prime is 2053837. The next prime is 2053841. The reversal of 2053840 is 483502.

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 781456 = 1128^2 + 884^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053841) 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, 12757 + ... + 12916.

22053840 is an apocalyptic number.

2053840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2053840 is an abundant number, since it is smaller than the sum of its proper divisors (2721524).

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

2053840 is a wasteful number, since it uses less digits than its factorization.

2053840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25686 (or 25680 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2053840 is about 1433.1224651090. The cubic root of 2053840 is about 127.1126782245.

The spelling of 2053840 in words is "two million, fifty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25673 51346 102692 128365 205384 256730 410768 513460 1026920 2053840