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5300000 = 255553
BaseRepresentation
bin10100001101111100100000
3100222021020022
4110031330200
52324100000
6305333012
763022616
oct24157440
910867208
105300000
112a9aa72
121937168
1311374c4
149bd6b6
156ea585
hex50df20

5300000 has 72 divisors (see below), whose sum is σ = 13288212. Its totient is φ = 2080000.

The previous prime is 5299997. The next prime is 5300003. The reversal of 5300000 is 35.

It is an interprime number because it is at equal distance from previous prime (5299997) and next prime (5300003).

It can be written as a sum of positive squares in 6 ways, for example, as 300304 + 4999696 = 548^2 + 2236^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (5300003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99974 + ... + 100026.

Almost surely, 25300000 is an apocalyptic number.

5300000 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 5300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6644106).

5300000 is an abundant number, since it is smaller than the sum of its proper divisors (7988212).

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

5300000 is an frugal number, since it uses more digits than its factorization.

5300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 8.

The square root of 5300000 is about 2302.1728866443. The cubic root of 5300000 is about 174.3513401265.

Adding to 5300000 its reverse (35), we get a palindrome (5300035).

The spelling of 5300000 in words is "five million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 125 160 200 212 250 265 400 424 500 530 625 800 848 1000 1060 1250 1325 1696 2000 2120 2500 2650 3125 4000 4240 5000 5300 6250 6625 8480 10000 10600 12500 13250 20000 21200 25000 26500 33125 42400 50000 53000 66250 100000 106000 132500 165625 212000 265000 331250 530000 662500 1060000 1325000 2650000 5300000