Base | Representation |
---|---|
bin | 1000010110000… |
… | …11011000011100 |
3 | 11212201200120221 |
4 | 10023003120130 |
5 | 120410200200 |
6 | 10540251124 |
7 | 1510021000 |
oct | 413033034 |
9 | 155650527 |
10 | 70006300 |
11 | 36575851 |
12 | 1b540aa4 |
13 | 11671660 |
14 | 9424700 |
15 | 622c91a |
hex | 42c361c |
70006300 has 144 divisors (see below), whose sum is σ = 192001600. Its totient is φ = 22014720.
The previous prime is 70006271. The next prime is 70006303. The reversal of 70006300 is 360007.
It is a happy number.
70006300 is a modest number, since divided by 6300 gives 700 as remainder.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (70006303) 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, 445822 + ... + 445978.
Almost surely, 270006300 is an apocalyptic number.
70006300 is a gapful number since it is divisible by the number (70) 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 70006300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96000800).
70006300 is an abundant number, since it is smaller than the sum of its proper divisors (121995300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
70006300 is a wasteful number, since it uses less digits than its factorization.
70006300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 205 (or 184 counting only the distinct ones).
The product of its (nonzero) digits is 126, while the sum is 16.
The square root of 70006300 is about 8366.9767538819. The cubic root of 70006300 is about 412.1408934659.
Adding to 70006300 its reverse (360007), we get a palindrome (70366307).
The spelling of 70006300 in words is "seventy million, six thousand, three hundred".
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