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5680483200 = 2732527191483
BaseRepresentation
bin1010100101001010…
…10100101110000000
3112122212211110000200
411102211110232000
543113200430300
62335400245200
7260524211340
oct52245245600
915585743020
105680483200
112455537117
121126470800
136c6b26782
143bc5d8d20
15233a71200
hex152954b80

5680483200 has 576 divisors, whose sum is σ = 24400521600. Its totient is φ = 1229230080.

The previous prime is 5680483187. The next prime is 5680483261. The reversal of 5680483200 is 23840865.

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 (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3829659 + ... + 3831141.

Almost surely, 25680483200 is an apocalyptic number.

5680483200 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 5680483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12200260800).

5680483200 is an abundant number, since it is smaller than the sum of its proper divisors (18720038400).

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

5680483200 is a wasteful number, since it uses less digits than its factorization.

5680483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5680483200 is about 75368.9803566427. The cubic root of 5680483200 is about 1784.2748743611.

The spelling of 5680483200 in words is "five billion, six hundred eighty million, four hundred eighty-three thousand, two hundred".