Base | Representation |
---|---|
bin | 1110010000001… |
… | …11011011000000 |
3 | 22022222200112211 |
4 | 13020013123000 |
5 | 221102134224 |
6 | 15510431504 |
7 | 2651211640 |
oct | 710073300 |
9 | 268880484 |
10 | 119568064 |
11 | 61547290 |
12 | 34062594 |
13 | 1ba05445 |
14 | 11c46520 |
15 | a76c894 |
hex | 72076c0 |
119568064 has 112 divisors (see below), whose sum is σ = 311627520. Its totient is φ = 44098560.
The previous prime is 119568061. The next prime is 119568077. The reversal of 119568064 is 460865911.
It is a tau number, because it is divible by the number of its divisors (112).
It is not an unprimeable number, because it can be changed into a prime (119568061) 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 15 ways as a sum of consecutive naturals, for example, 92994 + ... + 94270.
Almost surely, 2119568064 is an apocalyptic number.
119568064 is a gapful number since it is divisible by the number (14) 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 119568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155813760).
119568064 is an abundant number, since it is smaller than the sum of its proper divisors (192059456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
119568064 is a wasteful number, since it uses less digits than its factorization.
119568064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1326 (or 1316 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 40.
The square root of 119568064 is about 10934.7182862660. The cubic root of 119568064 is about 492.6499001738.
The spelling of 119568064 in words is "one hundred nineteen million, five hundred sixty-eight thousand, sixty-four".
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