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4273920 = 28325753
BaseRepresentation
bin10000010011011100000000
322001010201100
4100103130000
52043231140
6231334400
751220260
oct20233400
98033640
104273920
11245a072
121521400
13b68461
147d37a0
15596530
hex413700

4273920 has 216 divisors, whose sum is σ = 17218656. Its totient is φ = 958464.

The previous prime is 4273909. The next prime is 4273937. The reversal of 4273920 is 293724.

4273920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 212 × 180 × 112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80614 + ... + 80666.

It is an arithmetic number, because the mean of its divisors is an integer number (79716).

Almost surely, 24273920 is an apocalyptic number.

4273920 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 4273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609328).

4273920 is an abundant number, since it is smaller than the sum of its proper divisors (12944736).

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

4273920 is a wasteful number, since it uses less digits than its factorization.

4273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4273920 is about 2067.3461248664. The cubic root of 4273920 is about 162.2839100129.

The spelling of 4273920 in words is "four million, two hundred seventy-three thousand, nine hundred twenty".