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5319000 = 233353197
BaseRepresentation
bin10100010010100101011000
3101000020022000
4110102211120
52330202000
6310001000
763132201
oct24224530
911006260
105319000
113003275
121946160
13114304b
149c65a8
15701000
hex512958

5319000 has 128 divisors (see below), whose sum is σ = 18532800. Its totient is φ = 1411200.

The previous prime is 5318981. The next prime is 5319007. The reversal of 5319000 is 9135.

It is a super-2 number, since 2×53190002 = 56583522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5319007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26902 + ... + 27098.

Almost surely, 25319000 is an apocalyptic number.

5319000 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 5319000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9266400).

5319000 is an abundant number, since it is smaller than the sum of its proper divisors (13213800).

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

5319000 is a wasteful number, since it uses less digits than its factorization.

5319000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 5319000 is about 2306.2957312539. The cubic root of 5319000 is about 174.5594360249.

Adding to 5319000 its product of nonzero digits (135), we get a palindrome (5319135).

The spelling of 5319000 in words is "five million, three hundred nineteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 197 200 216 225 250 270 300 360 375 394 450 500 540 591 600 675 750 788 900 985 1000 1080 1125 1182 1350 1500 1576 1773 1800 1970 2250 2364 2700 2955 3000 3375 3546 3940 4500 4728 4925 5319 5400 5910 6750 7092 7880 8865 9000 9850 10638 11820 13500 14184 14775 17730 19700 21276 23640 24625 26595 27000 29550 35460 39400 42552 44325 49250 53190 59100 70920 73875 88650 98500 106380 118200 132975 147750 177300 197000 212760 221625 265950 295500 354600 443250 531900 591000 664875 886500 1063800 1329750 1773000 2659500 5319000