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5358000 = 243531947
BaseRepresentation
bin10100011100000110110000
3101002012210110
4110130012300
52332424000
6310501320
763353664
oct24340660
911065713
105358000
11302a5aa
121964840
131157a1b
149d68a4
1570c850
hex51c1b0

5358000 has 160 divisors (see below), whose sum is σ = 18570240. Its totient is φ = 1324800.

The previous prime is 5357999. The next prime is 5358013. The reversal of 5358000 is 8535.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113977 + ... + 114023.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 25358000 is an apocalyptic number.

5358000 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 5358000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285120).

5358000 is an abundant number, since it is smaller than the sum of its proper divisors (13212240).

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

5358000 is a wasteful number, since it uses less digits than its factorization.

5358000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5358000 is about 2314.7354060454. The cubic root of 5358000 is about 174.9850327335.

The spelling of 5358000 in words is "five million, three hundred fifty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 47 48 50 57 60 75 76 80 94 95 100 114 120 125 141 150 152 188 190 200 228 235 240 250 282 285 300 304 375 376 380 400 456 470 475 500 564 570 600 705 750 752 760 893 912 940 950 1000 1128 1140 1175 1200 1410 1425 1500 1520 1786 1880 1900 2000 2256 2280 2350 2375 2679 2820 2850 3000 3525 3572 3760 3800 4465 4560 4700 4750 5358 5640 5700 5875 6000 7050 7125 7144 7600 8930 9400 9500 10716 11280 11400 11750 13395 14100 14250 14288 17625 17860 18800 19000 21432 22325 22800 23500 26790 28200 28500 35250 35720 38000 42864 44650 47000 53580 56400 57000 66975 70500 71440 89300 94000 107160 111625 114000 133950 141000 178600 214320 223250 267900 282000 334875 357200 446500 535800 669750 893000 1071600 1339500 1786000 2679000 5358000