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5316300 = 22335211179
BaseRepresentation
bin10100010001111011001100
3101000002121000
4110101323030
52330110200
6305540300
763121263
oct24217314
911002530
105316300
113001240
121944690
131141a52
149c55da
15700300
hex511ecc

5316300 has 144 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 1281600.

The previous prime is 5316299. The next prime is 5316301. The reversal of 5316300 is 36135.

5316300 is a `hidden beast` number, since 5 + 31 + 630 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5316299) and next prime (5316301).

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

It is not an unprimeable number, because it can be changed into a prime (5316301) 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 47 ways as a sum of consecutive naturals, for example, 29611 + ... + 29789.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 25316300 is an apocalyptic number.

5316300 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 5316300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

5316300 is an abundant number, since it is smaller than the sum of its proper divisors (13432500).

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

5316300 is a wasteful number, since it uses less digits than its factorization.

5316300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 5316300 is about 2305.7103027050. The cubic root of 5316300 is about 174.5298947422.

The spelling of 5316300 in words is "five million, three hundred sixteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 179 180 198 220 225 270 275 297 300 330 358 396 450 495 537 540 550 594 660 675 716 825 895 900 990 1074 1100 1188 1350 1485 1611 1650 1790 1969 1980 2148 2475 2685 2700 2970 3222 3300 3580 3938 4475 4833 4950 5370 5907 5940 6444 7425 7876 8055 8950 9666 9845 9900 10740 11814 13425 14850 16110 17721 17900 19332 19690 23628 24165 26850 29535 29700 32220 35442 39380 40275 48330 49225 53163 53700 59070 70884 80550 88605 96660 98450 106326 118140 120825 147675 161100 177210 196900 212652 241650 265815 295350 354420 443025 483300 531630 590700 886050 1063260 1329075 1772100 2658150 5316300