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5930280000 = 26335417219
BaseRepresentation
bin1011000010111100…
…01110010001000000
3120022021212102211000
411201132032101000
544121122430000
62420242252000
7266646356031
oct54136162100
916267772730
105930280000
112573541157
121196057000
137367c7828
14403860a88
1524a965000
hex16178e440

5930280000 has 840 divisors, whose sum is σ = 24360327200. Its totient is φ = 1410048000.

The previous prime is 5930279987. The next prime is 5930280007. The reversal of 5930280000 is 820395.

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

It is not an unprimeable number, because it can be changed into a prime (5930280007) 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 119 ways as a sum of consecutive naturals, for example, 312119991 + ... + 312120009.

Almost surely, 25930280000 is an apocalyptic number.

5930280000 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 5930280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12180163600).

5930280000 is an abundant number, since it is smaller than the sum of its proper divisors (18430047200).

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

5930280000 is a wasteful number, since it uses less digits than its factorization.

5930280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5930280000 is about 77008.3112397616. The cubic root of 5930280000 is about 1810.0548399692.

The spelling of 5930280000 in words is "five billion, nine hundred thirty million, two hundred eighty thousand".