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2644040 = 235721971
BaseRepresentation
bin1010000101100001001000
311222022221102
422011201020
51134102130
6132400532
731321400
oct12054110
94868842
102644040
111546563
12a76148
13717629
144cb800
15373645
hex285848

2644040 has 96 divisors (see below), whose sum is σ = 7387200. Its totient is φ = 846720.

The previous prime is 2644039. The next prime is 2644043. The reversal of 2644040 is 404462.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2644043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37205 + ... + 37275.

It is an arithmetic number, because the mean of its divisors is an integer number (76950).

22644040 is an apocalyptic number.

2644040 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 2644040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693600).

2644040 is an abundant number, since it is smaller than the sum of its proper divisors (4743160).

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

2644040 is a wasteful number, since it uses less digits than its factorization.

2644040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2644040 is about 1626.0504297223. The cubic root of 2644040 is about 138.2789289459.

The spelling of 2644040 in words is "two million, six hundred forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 71 76 95 98 133 140 142 152 190 196 245 266 280 284 355 380 392 490 497 532 568 665 710 760 931 980 994 1064 1330 1349 1420 1862 1960 1988 2485 2660 2698 2840 3479 3724 3976 4655 4970 5320 5396 6745 6958 7448 9310 9443 9940 10792 13490 13916 17395 18620 18886 19880 26980 27832 34790 37240 37772 47215 53960 66101 69580 75544 94430 132202 139160 188860 264404 330505 377720 528808 661010 1322020 2644040