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2125840 = 24526573
BaseRepresentation
bin1000000111000000010000
311000000002211
420013000100
51021011330
6113321504
724032533
oct10070020
94000084
102125840
1112221a2
12866294
135957c2
143d4a1a
152bed2a
hex207010

2125840 has 20 divisors (see below), whose sum is σ = 4942764. Its totient is φ = 850304.

The previous prime is 2125831. The next prime is 2125841. The reversal of 2125840 is 485212.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 446224 = 1296^2 + 668^2 .

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125841) 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, 13207 + ... + 13366.

22125840 is an apocalyptic number.

2125840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125840 is an abundant number, since it is smaller than the sum of its proper divisors (2816924).

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

2125840 is a wasteful number, since it uses less digits than its factorization.

2125840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26586 (or 26580 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2125840 is about 1458.0260628672. The cubic root of 2125840 is about 128.5810175094.

The spelling of 2125840 in words is "two million, one hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26573 53146 106292 132865 212584 265730 425168 531460 1062920 2125840