Base | Representation |
---|---|
bin | 11100000110010… |
… | …11000101001000 |
3 | 121102112110020012 |
4 | 32003023011020 |
5 | 440320302330 |
6 | 35220051052 |
7 | 5561345306 |
oct | 1603130510 |
9 | 542473205 |
10 | 235712840 |
11 | 111065600 |
12 | 66b33a88 |
13 | 39aac66c |
14 | 2343b276 |
15 | 15a60c95 |
hex | e0cb148 |
235712840 has 96 divisors (see below), whose sum is σ = 602138880. Its totient is φ = 82896000.
The previous prime is 235712777. The next prime is 235712843. The reversal of 235712840 is 48217532.
It is a junction number, because it is equal to n+sod(n) for n = 235712797 and 235712806.
It is not an unprimeable number, because it can be changed into a prime (235712843) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149255 + ... + 150825.
It is an arithmetic number, because the mean of its divisors is an integer number (6272280).
Almost surely, 2235712840 is an apocalyptic number.
235712840 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 235712840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301069440).
235712840 is an abundant number, since it is smaller than the sum of its proper divisors (366426040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235712840 is a wasteful number, since it uses less digits than its factorization.
235712840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1635 (or 1620 counting only the distinct ones).
The product of its (nonzero) digits is 13440, while the sum is 32.
The square root of 235712840 is about 15352.9423890015. The cubic root of 235712840 is about 617.7239125247.
The spelling of 235712840 in words is "two hundred thirty-five million, seven hundred twelve thousand, eight hundred forty".
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