Base | Representation |
---|---|
bin | 10001000000000… |
… | …00111111001110 |
3 | 100221100100200000 |
4 | 20200000333032 |
5 | 243002013012 |
6 | 22052345130 |
7 | 3351111465 |
oct | 1040007716 |
9 | 327310600 |
10 | 142610382 |
11 | 73555322 |
12 | 3b9151a6 |
13 | 23712555 |
14 | 14d239dc |
15 | c7beddc |
hex | 8800fce |
142610382 has 96 divisors (see below), whose sum is σ = 348382944. Its totient is φ = 43545600.
The previous prime is 142610353. The next prime is 142610389. The reversal of 142610382 is 283016241.
142610382 is a `hidden beast` number, since 1 + 42 + 610 + 3 + 8 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (142610389) 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 47 ways as a sum of consecutive naturals, for example, 338532 + ... + 338952.
It is an arithmetic number, because the mean of its divisors is an integer number (3628989).
Almost surely, 2142610382 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 142610382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174191472).
142610382 is an abundant number, since it is smaller than the sum of its proper divisors (205772562).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142610382 is a wasteful number, since it uses less digits than its factorization.
142610382 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 496 (or 484 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 142610382 is about 11941.9588845382. The cubic root of 142610382 is about 522.4567939671.
The spelling of 142610382 in words is "one hundred forty-two million, six hundred ten thousand, three hundred eighty-two".
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