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2137040 = 24526713
BaseRepresentation
bin1000001001101111010000
311000120110122
420021233100
51021341130
6113445412
724110303
oct10115720
94016418
102137040
11122a654
12870868
1359a929
143d8b3a
152c32e5
hex209bd0

2137040 has 20 divisors (see below), whose sum is σ = 4968804. Its totient is φ = 854784.

The previous prime is 2137033. The next prime is 2137049. The reversal of 2137040 is 407312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1577536 + 559504 = 1256^2 + 748^2 .

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 (2137049) 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, 13277 + ... + 13436.

22137040 is an apocalyptic number.

2137040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137040 is an abundant number, since it is smaller than the sum of its proper divisors (2831764).

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

2137040 is a wasteful number, since it uses less digits than its factorization.

2137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26726 (or 26720 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 2137040 is about 1461.8618265760. The cubic root of 2137040 is about 128.8064320438.

The spelling of 2137040 in words is "two million, one hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26713 53426 106852 133565 213704 267130 427408 534260 1068520 2137040