Base | Representation |
---|---|
bin | 10000111001100… |
… | …11000101010000 |
3 | 100212202111202100 |
4 | 20130303011100 |
5 | 242243020432 |
6 | 22022320400 |
7 | 3340666563 |
oct | 1034630520 |
9 | 325674670 |
10 | 141766992 |
11 | 73029704 |
12 | 3b589100 |
13 | 234a86c3 |
14 | 14b844da |
15 | c6a507c |
hex | 8733150 |
141766992 has 60 divisors (see below), whose sum is σ = 398884564. Its totient is φ = 47001600.
The previous prime is 141766991. The next prime is 141767023. The reversal of 141766992 is 299667141.
141766992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 131882256 = 3144^2 + 11484^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (141766991) 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 11 ways as a sum of consecutive naturals, for example, 25242 + ... + 30342.
Almost surely, 2141766992 is an apocalyptic number.
141766992 is a gapful number since it is divisible by the number (12) 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 141766992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199442282).
141766992 is an abundant number, since it is smaller than the sum of its proper divisors (257117572).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141766992 is a wasteful number, since it uses less digits than its factorization.
141766992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5308 (or 5299 counting only the distinct ones).
The product of its digits is 163296, while the sum is 45.
The square root of 141766992 is about 11906.5944753317. The cubic root of 141766992 is about 521.4248299904.
The spelling of 141766992 in words is "one hundred forty-one million, seven hundred sixty-six thousand, nine hundred ninety-two".
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