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5300432280 = 233251113195419
BaseRepresentation
bin1001110111110111…
…00010110110011000
3111200101200212011200
410323323202312120
541323402313110
62233542354200
7245230634223
oct47373426630
914611625150
105300432280
11227aa57250
12103b12b960
1366617b380
14383d485ba
152104ed6c0
hex13bee2d98

5300432280 has 384 divisors, whose sum is σ = 21307104000. Its totient is φ = 1123476480.

The previous prime is 5300432273. The next prime is 5300432309. The reversal of 5300432280 is 822340035.

5300432280 is a nontrivial binomial coefficient, being equal to C(102961, 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 975411 + ... + 980829.

It is an arithmetic number, because the mean of its divisors is an integer number (55487250).

Almost surely, 25300432280 is an apocalyptic number.

5300432280 is the 102960-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5300432280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10653552000).

5300432280 is an abundant number, since it is smaller than the sum of its proper divisors (16006671720).

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

5300432280 is a wasteful number, since it uses less digits than its factorization.

5300432280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5300432280 is about 72804.0677434991. The cubic root of 5300432280 is about 1743.5608016100.

It can be divided in two parts, 5300 and 432280, that added together give a triangular number (437580 = T935).

The spelling of 5300432280 in words is "five billion, three hundred million, four hundred thirty-two thousand, two hundred eighty".