Base | Representation |
---|---|
bin | 11100101000000… |
… | …10000000000000 |
3 | 121201211222022100 |
4 | 32110002000000 |
5 | 442433211341 |
6 | 35454510400 |
7 | 5644042401 |
oct | 1624020000 |
9 | 551758270 |
10 | 240132096 |
11 | 113603886 |
12 | 68505400 |
13 | 3a998cc9 |
14 | 23c6b9a8 |
15 | 161353b6 |
hex | e502000 |
240132096 has 84 divisors (see below), whose sum is σ = 693885582. Its totient is φ = 80019456.
The previous prime is 240132083. The next prime is 240132097. The reversal of 240132096 is 690231042.
It can be written as a sum of positive squares in only one way, i.e., 165482496 + 74649600 = 12864^2 + 8640^2 .
It is not an unprimeable number, because it can be changed into a prime (240132097) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72100 + ... + 75356.
Almost surely, 2240132096 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 240132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346942791).
240132096 is an abundant number, since it is smaller than the sum of its proper divisors (453753486).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240132096 is an equidigital number, since it uses as much as digits as its factorization.
240132096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3289 (or 3262 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
The square root of 240132096 is about 15496.1961784175. The cubic root of 240132096 is about 621.5604949974.
The spelling of 240132096 in words is "two hundred forty million, one hundred thirty-two thousand, ninety-six".
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