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5838840 = 2332572331
BaseRepresentation
bin10110010001011111111000
3101222122101100
4112101133320
52443320330
6325051400
7100425600
oct26213770
911878340
105838840
113328897
121b56b60
131295847
14abdc00
157a5060
hex5917f8

5838840 has 144 divisors (see below), whose sum is σ = 22141080. Its totient is φ = 1330560.

The previous prime is 5838797. The next prime is 5838887. The reversal of 5838840 is 488385.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5838795 and 5838804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17475 + ... + 17805.

Almost surely, 25838840 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 5838840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070540).

5838840 is an abundant number, since it is smaller than the sum of its proper divisors (16302240).

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

5838840 is a wasteful number, since it uses less digits than its factorization.

5838840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5838840 is about 2416.3691770919. The cubic root of 5838840 is about 180.0703428772.

The spelling of 5838840 in words is "five million, eight hundred thirty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 331 360 392 420 441 490 504 588 630 662 735 840 882 980 993 1176 1260 1324 1470 1655 1764 1960 1986 2205 2317 2520 2648 2940 2979 3310 3528 3972 4410 4634 4965 5880 5958 6620 6951 7944 8820 9268 9930 11585 11916 13240 13902 14895 16219 17640 18536 19860 20853 23170 23832 27804 29790 32438 34755 39720 41706 46340 48657 55608 59580 64876 69510 81095 83412 92680 97314 104265 119160 129752 139020 145971 162190 166824 194628 208530 243285 278040 291942 324380 389256 417060 486570 583884 648760 729855 834120 973140 1167768 1459710 1946280 2919420 5838840