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5340300 = 2235272543
BaseRepresentation
bin10100010111110010001100
3101001022111220
4110113302030
52331342200
6310243340
763251250
oct24276214
911038456
105340300
113018279
121956550
13114c954
149d0260
157074a0
hex517c8c

5340300 has 72 divisors (see below), whose sum is σ = 17665536. Its totient is φ = 1220160.

The previous prime is 5340289. The next prime is 5340317. The reversal of 5340300 is 30435.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5340300.

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 23 ways as a sum of consecutive naturals, for example, 829 + ... + 3371.

Almost surely, 25340300 is an apocalyptic number.

5340300 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 5340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8832768).

5340300 is an abundant number, since it is smaller than the sum of its proper divisors (12325236).

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

5340300 is a wasteful number, since it uses less digits than its factorization.

5340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2560 counting only the distinct ones).

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

The square root of 5340300 is about 2310.9089120950. The cubic root of 5340300 is about 174.7921341461.

Adding to 5340300 its reverse (30435), we get a palindrome (5370735).

The spelling of 5340300 in words is "five million, three hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 2543 5086 7629 10172 12715 15258 17801 25430 30516 35602 38145 50860 53403 63575 71204 76290 89005 106806 127150 152580 178010 190725 213612 254300 267015 356020 381450 445025 534030 762900 890050 1068060 1335075 1780100 2670150 5340300