Base | Representation |
---|---|
bin | 11100000111110… |
… | …01001000000000 |
3 | 121102220000221101 |
4 | 32003321020000 |
5 | 440342321230 |
6 | 35224104144 |
7 | 5563062205 |
oct | 1603711000 |
9 | 542800841 |
10 | 235901440 |
11 | 111184275 |
12 | 67005054 |
13 | 39b47468 |
14 | 23489cac |
15 | 15a9baca |
hex | e0f9200 |
235901440 has 80 divisors (see below), whose sum is σ = 579034368. Its totient is φ = 92123136.
The previous prime is 235901437. The next prime is 235901443. The reversal of 235901440 is 44109532.
235901440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (235901437) and next prime (235901443).
It is a tau number, because it is divible by the number of its divisors (80).
It is a junction number, because it is equal to n+sod(n) for n = 235901399 and 235901408.
It is not an unprimeable number, because it can be changed into a prime (235901443) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109009 + ... + 111151.
Almost surely, 2235901440 is an apocalyptic number.
235901440 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 235901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289517184).
235901440 is an abundant number, since it is smaller than the sum of its proper divisors (343132928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235901440 is an equidigital number, since it uses as much as digits as its factorization.
235901440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2209 (or 2193 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 28.
The square root of 235901440 is about 15359.0833059789. The cubic root of 235901440 is about 617.8886209490. Note that the first 3 decimals are identical.
The spelling of 235901440 in words is "two hundred thirty-five million, nine hundred one thousand, four hundred forty".
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