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5803380 = 2233511977
BaseRepresentation
bin10110001000110101110100
3101220211202000
4112020311310
52441202010
6324215300
7100220322
oct26106564
911824660
105803380
113304190
121b3a530
13128266b
14ab0d12
157997c0
hex588d74

5803380 has 96 divisors (see below), whose sum is σ = 19716480. Its totient is φ = 1405440.

The previous prime is 5803373. The next prime is 5803381. The reversal of 5803380 is 833085.

5803380 is a `hidden beast` number, since 580 + 3 + 3 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5803381) 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, 5452 + ... + 6428.

It is an arithmetic number, because the mean of its divisors is an integer number (205380).

Almost surely, 25803380 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 5803380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9858240).

5803380 is an abundant number, since it is smaller than the sum of its proper divisors (13913100).

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

5803380 is a wasteful number, since it uses less digits than its factorization.

5803380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5803380 is about 2409.0205478576. The cubic root of 5803380 is about 179.7050725851.

The spelling of 5803380 in words is "five million, eight hundred three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 977 990 1188 1485 1954 1980 2931 2970 3908 4885 5862 5940 8793 9770 10747 11724 14655 17586 19540 21494 26379 29310 32241 35172 42988 43965 52758 53735 58620 64482 87930 96723 105516 107470 128964 131895 161205 175860 193446 214940 263790 290169 322410 386892 483615 527580 580338 644820 967230 1160676 1450845 1934460 2901690 5803380