Base | Representation |
---|---|
bin | 1110010011011… |
… | …00100010100000 |
3 | 22100202201200200 |
4 | 13021230202200 |
5 | 221203412430 |
6 | 15523345200 |
7 | 2654555310 |
oct | 711544240 |
9 | 270681620 |
10 | 119982240 |
11 | 617aa484 |
12 | 34222200 |
13 | 1bb1bb11 |
14 | 11d13440 |
15 | a800460 |
hex | 726c8a0 |
119982240 has 144 divisors (see below), whose sum is σ = 467970048. Its totient is φ = 27422208.
The previous prime is 119982197. The next prime is 119982241. The reversal of 119982240 is 42289911.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 119982195 and 119982204.
It is not an unprimeable number, because it can be changed into a prime (119982241) 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, 4129 + ... + 16031.
It is an arithmetic number, because the mean of its divisors is an integer number (3249792).
Almost surely, 2119982240 is an apocalyptic number.
119982240 is a gapful number since it is divisible by the number (10) 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 119982240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).
119982240 is an abundant number, since it is smaller than the sum of its proper divisors (347987808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
119982240 is a wasteful number, since it uses less digits than its factorization.
119982240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11931 (or 11920 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 36.
The square root of 119982240 is about 10953.6404907227. The cubic root of 119982240 is about 493.2180803731.
The spelling of 119982240 in words is "one hundred nineteen million, nine hundred eighty-two thousand, two hundred forty".
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