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5334000 = 243537127
BaseRepresentation
bin10100010110001111110000
3101000222212120
4110112033300
52331142000
6310154240
763224010
oct24261760
911028776
105334000
113013571
121952980
131149b19
149cbc40
157056a0
hex5163f0

5334000 has 160 divisors (see below), whose sum is σ = 19808256. Its totient is φ = 1209600.

The previous prime is 5333981. The next prime is 5334011. The reversal of 5334000 is 4335.

5334000 = T224 + T225 + ... + T350.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 41937 + ... + 42063.

Almost surely, 25334000 is an apocalyptic number.

5334000 is a gapful number since it is divisible by the number (50) 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 5334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9904128).

5334000 is an abundant number, since it is smaller than the sum of its proper divisors (14474256).

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

5334000 is a wasteful number, since it uses less digits than its factorization.

5334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 5334000 is about 2309.5454098155. The cubic root of 5334000 is about 174.7233724812.

Adding to 5334000 its reverse (4335), we get a palindrome (5338335).

The spelling of 5334000 in words is "five million, three hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 127 140 150 168 175 200 210 240 250 254 280 300 336 350 375 381 400 420 500 508 525 560 600 635 700 750 762 840 875 889 1000 1016 1050 1200 1270 1400 1500 1524 1680 1750 1778 1905 2000 2032 2100 2540 2625 2667 2800 3000 3048 3175 3500 3556 3810 4200 4445 5080 5250 5334 6000 6096 6350 7000 7112 7620 8400 8890 9525 10160 10500 10668 12700 13335 14000 14224 15240 15875 17780 19050 21000 21336 22225 25400 26670 30480 31750 35560 38100 42000 42672 44450 47625 50800 53340 63500 66675 71120 76200 88900 95250 106680 111125 127000 133350 152400 177800 190500 213360 222250 254000 266700 333375 355600 381000 444500 533400 666750 762000 889000 1066800 1333500 1778000 2667000 5334000