Base | Representation |
---|---|
bin | 10000111101011… |
… | …00011010000000 |
3 | 100220200202102200 |
4 | 20132230122000 |
5 | 242404421221 |
6 | 22041113200 |
7 | 3345136443 |
oct | 1036543200 |
9 | 326622380 |
10 | 142263936 |
11 | 73339001 |
12 | 3b788800 |
13 | 23620959 |
14 | 14c7365a |
15 | c752426 |
hex | 87ac680 |
142263936 has 48 divisors (see below), whose sum is σ = 409382610. Its totient is φ = 47420928.
The previous prime is 142263931. The next prime is 142263943. The reversal of 142263936 is 639362241.
142263936 is a `hidden beast` number, since 14 + 2 + 2 + 639 + 3 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 133263936 + 9000000 = 11544^2 + 3000^2 .
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 142263936.
It is not an unprimeable number, because it can be changed into a prime (142263931) 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 5 ways as a sum of consecutive naturals, for example, 60595 + ... + 62898.
Almost surely, 2142263936 is an apocalyptic number.
142263936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
142263936 is an abundant number, since it is smaller than the sum of its proper divisors (267118674).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142263936 is a wasteful number, since it uses less digits than its factorization.
142263936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123513 (or 123498 counting only the distinct ones).
The product of its digits is 46656, while the sum is 36.
The square root of 142263936 is about 11927.4446550801. Note that the first 3 decimals coincide. The cubic root of 142263936 is about 522.0333796420.
The spelling of 142263936 in words is "one hundred forty-two million, two hundred sixty-three thousand, nine hundred thirty-six".
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