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5310000 = 24325459
BaseRepresentation
bin10100010000011000110000
3100222202221200
4110100120300
52324410000
6305451200
763064023
oct24203060
910882850
105310000
112aa7533
121940b00
13113bc17
149c31ba
156ed500
hex510630

5310000 has 150 divisors (see below), whose sum is σ = 18884580. Its totient is φ = 1392000.

The previous prime is 5309999. The next prime is 5310029. The reversal of 5310000 is 135.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×53100002 = 56392200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89971 + ... + 90029.

Almost surely, 25310000 is an apocalyptic number.

5310000 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 5310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9442290).

5310000 is an abundant number, since it is smaller than the sum of its proper divisors (13574580).

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

5310000 is a wasteful number, since it uses less digits than its factorization.

5310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 5310000 is about 2304.3437243606. The cubic root of 5310000 is about 174.4609261642.

Adding to 5310000 its reverse (135), we get a palindrome (5310135).

The spelling of 5310000 in words is "five million, three hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 59 60 72 75 80 90 100 118 120 125 144 150 177 180 200 225 236 240 250 295 300 354 360 375 400 450 472 500 531 590 600 625 708 720 750 885 900 944 1000 1062 1125 1180 1200 1250 1416 1475 1500 1770 1800 1875 2000 2124 2250 2360 2500 2655 2832 2950 3000 3540 3600 3750 4248 4425 4500 4720 5000 5310 5625 5900 6000 7080 7375 7500 8496 8850 9000 10000 10620 11250 11800 13275 14160 14750 15000 17700 18000 21240 22125 22500 23600 26550 29500 30000 35400 36875 42480 44250 45000 53100 59000 66375 70800 73750 88500 90000 106200 110625 118000 132750 147500 177000 212400 221250 265500 295000 331875 354000 442500 531000 590000 663750 885000 1062000 1327500 1770000 2655000 5310000