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5309823240 = 23335231811181
BaseRepresentation
bin1001111000111110…
…10111100100001000
3111201001100222011000
410330133113210020
541333303320430
62234515535000
7245403516141
oct47437274410
914631328130
105309823240
112285290877
1210422ba460
136680b8957
143852b0ac8
15211255e60
hex13c7d7908

5309823240 has 256 divisors, whose sum is σ = 18586713600. Its totient is φ = 1345766400.

The previous prime is 5309823221. The next prime is 5309823241. The reversal of 5309823240 is 423289035.

5309823240 is a `hidden beast` number, since 530 + 9 + 82 + 3 + 2 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5309823195 and 5309823204.

It is not an unprimeable number, because it can be changed into a prime (5309823241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4495450 + ... + 4496630.

It is an arithmetic number, because the mean of its divisors is an integer number (72604350).

Almost surely, 25309823240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5309823240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9293356800).

5309823240 is an abundant number, since it is smaller than the sum of its proper divisors (13276890360).

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

5309823240 is a wasteful number, since it uses less digits than its factorization.

5309823240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5309823240 is about 72868.5339498470. The cubic root of 5309823240 is about 1744.5899031644.

The spelling of 5309823240 in words is "five billion, three hundred nine million, eight hundred twenty-three thousand, two hundred forty".