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5334100 = 2252411301
BaseRepresentation
bin10100010110010001010100
3101001000000021
4110112101110
52331142400
6310154524
763224212
oct24262124
911030007
105334100
113013652
121952a44
131149b95
149cbcb2
1570571a
hex516454

5334100 has 36 divisors (see below), whose sum is σ = 11866428. Its totient is φ = 2080000.

The previous prime is 5334089. The next prime is 5334101. The reversal of 5334100 is 14335.

5334100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2729104 + 2604996 = 1652^2 + 1614^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5334101) 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, 3450 + ... + 4750.

It is an arithmetic number, because the mean of its divisors is an integer number (329623).

Almost surely, 25334100 is an apocalyptic number.

5334100 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 5334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933214).

5334100 is an abundant number, since it is smaller than the sum of its proper divisors (6532328).

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

5334100 is a wasteful number, since it uses less digits than its factorization.

5334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 5334100 is about 2309.5670589961. The cubic root of 5334100 is about 174.7244643589.

Adding to 5334100 its reverse (14335), we get a palindrome (5348435).

The spelling of 5334100 in words is "five million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1301 2050 2602 4100 5204 6505 13010 26020 32525 53341 65050 106682 130100 213364 266705 533410 1066820 1333525 2667050 5334100