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235126320 = 2435111321731
BaseRepresentation
bin11100000001110…
…11111000110000
3121101102122200020
432000323320300
5440143020240
635155323440
75553353322
oct1600737060
9541378606
10235126320
111107a4980
12668b0580
1339935700
1423327612
15159970d0
hexe03be30

235126320 has 480 divisors, whose sum is σ = 941082624. Its totient is φ = 47923200.

The previous prime is 235126319. The next prime is 235126327. The reversal of 235126320 is 23621532.

235126320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235126327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7584705 + ... + 7584735.

Almost surely, 2235126320 is an apocalyptic number.

235126320 is a gapful number since it is divisible by the number (20) 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 235126320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470541312).

235126320 is an abundant number, since it is smaller than the sum of its proper divisors (705956304).

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

235126320 is a wasteful number, since it uses less digits than its factorization.

235126320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 235126320 is about 15333.8292673422. The cubic root of 235126320 is about 617.2111298906.

Adding to 235126320 its reverse (23621532), we get a palindrome (258747852).

The spelling of 235126320 in words is "two hundred thirty-five million, one hundred twenty-six thousand, three hundred twenty".