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5735220120 = 2333574716141
BaseRepresentation
bin1010101011101100…
…01000001110011000
3112210200211100222000
411111312020032120
543221204020440
62345033401000
7262060365240
oct52566101630
915720740860
105735220120
112483422843
121140869160
1370527cc96
143c59a6b20
15238784730
hex155d88398

5735220120 has 256 divisors, whose sum is σ = 22314700800. Its totient is φ = 1282936320.

The previous prime is 5735220017. The next prime is 5735220133. The reversal of 5735220120 is 210225375.

5735220120 is a `hidden beast` number, since 573 + 52 + 20 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347250 + ... + 363390.

It is an arithmetic number, because the mean of its divisors is an integer number (87166800).

Almost surely, 25735220120 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 5735220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11157350400).

5735220120 is an abundant number, since it is smaller than the sum of its proper divisors (16579480680).

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

5735220120 is a wasteful number, since it uses less digits than its factorization.

5735220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16215 (or 16205 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5735220120 is about 75731.2360918531. The cubic root of 5735220120 is about 1789.9876324271.

Adding to 5735220120 its reverse (210225375), we get a palindrome (5945445495).

The spelling of 5735220120 in words is "five billion, seven hundred thirty-five million, two hundred twenty thousand, one hundred twenty".