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5303300 = 2252181293
BaseRepresentation
bin10100001110110000000100
3100222102202112
4110032300010
52324201200
6305400152
763035342
oct24166004
910872675
105303300
112aa24a2
121939058
131138b62
149c0992
156eb535
hex50ec04

5303300 has 36 divisors (see below), whose sum is σ = 11611236. Its totient is φ = 2102400.

The previous prime is 5303297. The next prime is 5303323. The reversal of 5303300 is 33035.

It can be written as a sum of positive squares in 6 ways, for example, as 222784 + 5080516 = 472^2 + 2254^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17954 + ... + 18246.

Almost surely, 25303300 is an apocalyptic number.

5303300 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 5303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805618).

5303300 is an abundant number, since it is smaller than the sum of its proper divisors (6307936).

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

5303300 is a wasteful number, since it uses less digits than its factorization.

5303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 14.

The square root of 5303300 is about 2302.8894893155. The cubic root of 5303300 is about 174.3875187460.

Adding to 5303300 its reverse (33035), we get a palindrome (5336335).

The spelling of 5303300 in words is "five million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 293 362 586 724 905 1172 1465 1810 2930 3620 4525 5860 7325 9050 14650 18100 29300 53033 106066 212132 265165 530330 1060660 1325825 2651650 5303300