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4681230840 = 233351113171783
BaseRepresentation
bin1000101110000010…
…11110100111111000
3110002020120011111000
410113001132213320
534041343341330
62052303005000
7224001543216
oct42701364770
913066504430
104681230840
111a92484020
12aa7899760
13597abb9a0
14325a03cb6
151c5e8b560
hex11705e9f8

4681230840 has 512 divisors, whose sum is σ = 19421337600. Its totient is φ = 985374720.

The previous prime is 4681230833. The next prime is 4681230877. The reversal of 4681230840 is 480321864.

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 = 4681230795 and 4681230804.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2624589 + ... + 2626371.

It is an arithmetic number, because the mean of its divisors is an integer number (37932300).

Almost surely, 24681230840 is an apocalyptic number.

4681230840 is a gapful number since it is divisible by the number (40) 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 4681230840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9710668800).

4681230840 is an abundant number, since it is smaller than the sum of its proper divisors (14740106760).

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

4681230840 is a wasteful number, since it uses less digits than its factorization.

4681230840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4681230840 is about 68419.5208986441. The cubic root of 4681230840 is about 1672.8359477175.

The spelling of 4681230840 in words is "four billion, six hundred eighty-one million, two hundred thirty thousand, eight hundred forty".