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1468303200 = 25355271383
BaseRepresentation
bin101011110000100…
…1000011101100000
310210022212112100000
41113201020131200
511001341200300
6401410500000
751246241230
oct12741103540
93708775300
101468303200
11693900a21
1234b894600
131a5274b80
14dd011cc0
1588d87c00
hex57848760

1468303200 has 864 divisors, whose sum is σ = 6688071936. Its totient is φ = 306063360.

The previous prime is 1468303183. The next prime is 1468303201. The reversal of 1468303200 is 23038641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468303201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17690359 + ... + 17690441.

It is an arithmetic number, because the mean of its divisors is an integer number (7740824).

Almost surely, 21468303200 is an apocalyptic number.

1468303200 is a gapful number since it is divisible by the number (10) 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 1468303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344035968).

1468303200 is an abundant number, since it is smaller than the sum of its proper divisors (5219768736).

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

1468303200 is a wasteful number, since it uses less digits than its factorization.

1468303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1468303200 is about 38318.4446448443. Note that the first 3 decimals coincide. The cubic root of 1468303200 is about 1136.5937103507.

The spelling of 1468303200 in words is "one billion, four hundred sixty-eight million, three hundred three thousand, two hundred".