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2126680 = 23579673
BaseRepresentation
bin1000000111001101011000
311000001020221
420013031120
51021023210
6113325424
724035143
oct10071530
94001227
102126680
111222896
12866874
13595cba
143d505a
152c01da
hex207358

2126680 has 32 divisors (see below), whose sum is σ = 4852800. Its totient is φ = 838656.

The previous prime is 2126659. The next prime is 2126681. The reversal of 2126680 is 866212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2824 + ... + 3496.

It is an arithmetic number, because the mean of its divisors is an integer number (151650).

22126680 is an apocalyptic number.

2126680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426400).

2126680 is an abundant number, since it is smaller than the sum of its proper divisors (2726120).

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

2126680 is a wasteful number, since it uses less digits than its factorization.

2126680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2126680 is about 1458.3140951112. The cubic root of 2126680 is about 128.5979510246.

The spelling of 2126680 in words is "two million, one hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 673 790 1346 1580 2692 3160 3365 5384 6730 13460 26920 53167 106334 212668 265835 425336 531670 1063340 2126680