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5130403200 = 2732521371193
BaseRepresentation
bin1001100011100101…
…11011110110000000
3111020112202111010100
410301302323312000
541001340400300
62205030202400
7241064464506
oct46162736600
914215674110
105130403200
1121a2a8494a
12bb21b3400
13639b88a50
14369528676
15200614700
hex131cbbd80

5130403200 has 576 divisors, whose sum is σ = 20095901280. Its totient is φ = 1238630400.

The previous prime is 5130403193. The next prime is 5130403217. The reversal of 5130403200 is 23040315.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26582304 + ... + 26582496.

Almost surely, 25130403200 is an apocalyptic number.

5130403200 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 5130403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10047950640).

5130403200 is an abundant number, since it is smaller than the sum of its proper divisors (14965498080).

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

5130403200 is a wasteful number, since it uses less digits than its factorization.

5130403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5130403200 is about 71626.8329608395. The cubic root of 5130403200 is about 1724.7143068136.

Adding to 5130403200 its reverse (23040315), we get a palindrome (5153443515).

The spelling of 5130403200 in words is "five billion, one hundred thirty million, four hundred three thousand, two hundred".