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2105680 = 24526321
BaseRepresentation
bin1000000010000101010000
310221222110011
420002011100
51014340210
6113044304
723620003
oct10020520
93858404
102105680
111209035
12856694
13589585
143cb53a
152b8d8a
hex202150

2105680 has 20 divisors (see below), whose sum is σ = 4895892. Its totient is φ = 842240.

The previous prime is 2105669. The next prime is 2105681. The reversal of 2105680 is 865012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1459264 + 646416 = 1208^2 + 804^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13081 + ... + 13240.

22105680 is an apocalyptic number.

2105680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105680 is an abundant number, since it is smaller than the sum of its proper divisors (2790212).

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

2105680 is a wasteful number, since it uses less digits than its factorization.

2105680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26334 (or 26328 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 2105680 is about 1451.0961374079. The cubic root of 2105680 is about 128.1732679532.

The spelling of 2105680 in words is "two million, one hundred five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26321 52642 105284 131605 210568 263210 421136 526420 1052840 2105680