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2982840 = 233575367
BaseRepresentation
bin1011011000001110111000
312121112200120
423120032320
51230422330
6143533240
734232220
oct13301670
95545616
102982840
111758063
12bba220
138058c3
14579080
153ddc10
hex2d83b8

2982840 has 128 divisors (see below), whose sum is σ = 10575360. Its totient is φ = 658944.

The previous prime is 2982827. The next prime is 2982841. The reversal of 2982840 is 482892.

2982840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (2982841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44487 + ... + 44553.

It is an arithmetic number, because the mean of its divisors is an integer number (82620).

22982840 is an apocalyptic number.

2982840 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 2982840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680).

2982840 is an abundant number, since it is smaller than the sum of its proper divisors (7592520).

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

2982840 is a wasteful number, since it uses less digits than its factorization.

2982840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2982840 is about 1727.0900381856. The cubic root of 2982840 is about 143.9494421279.

The spelling of 2982840 in words is "two million, nine hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 67 70 84 105 106 120 134 140 159 168 201 210 212 265 268 280 318 335 371 402 420 424 469 530 536 636 670 742 795 804 840 938 1005 1060 1113 1272 1340 1407 1484 1590 1608 1855 1876 2010 2120 2226 2345 2680 2814 2968 3180 3551 3710 3752 4020 4452 4690 5565 5628 6360 7035 7102 7420 8040 8904 9380 10653 11130 11256 14070 14204 14840 17755 18760 21306 22260 24857 28140 28408 35510 42612 44520 49714 53265 56280 71020 74571 85224 99428 106530 124285 142040 149142 198856 213060 248570 298284 372855 426120 497140 596568 745710 994280 1491420 2982840