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2680128 = 26341147
BaseRepresentation
bin1010001110010101000000
312001011110000
422032111000
51141231003
6133240000
731531533
oct12162500
95034400
102680128
111570690
12a93000
1372ab99
144daa1a
1537e1a3
hex28e540

2680128 has 140 divisors (see below), whose sum is σ = 8851392. Its totient is φ = 794880.

The previous prime is 2680127. The next prime is 2680133. The reversal of 2680128 is 8210862.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57001 + ... + 57047.

22680128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425696).

2680128 is an abundant number, since it is smaller than the sum of its proper divisors (6171264).

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

2680128 is a wasteful number, since it uses less digits than its factorization.

2680128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2680128 is about 1637.1096481299. The cubic root of 2680128 is about 138.9052025163.

The spelling of 2680128 in words is "two million, six hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 47 48 54 64 66 72 81 88 94 96 99 108 132 141 144 162 176 188 192 198 216 264 282 288 297 324 352 376 396 423 432 517 528 564 576 594 648 704 752 792 846 864 891 1034 1056 1128 1188 1269 1296 1504 1551 1584 1692 1728 1782 2068 2112 2256 2376 2538 2592 3008 3102 3168 3384 3564 3807 4136 4512 4653 4752 5076 5184 6204 6336 6768 7128 7614 8272 9024 9306 9504 10152 12408 13536 13959 14256 15228 16544 18612 19008 20304 24816 27072 27918 28512 30456 33088 37224 40608 41877 49632 55836 57024 60912 74448 81216 83754 99264 111672 121824 148896 167508 223344 243648 297792 335016 446688 670032 893376 1340064 2680128