Base | Representation |
---|---|
bin | 1111000011010… |
… | …1000111000110 |
3 | 11101210102222000 |
4 | 3300311013012 |
5 | 112130211402 |
6 | 10133050130 |
7 | 1364420415 |
oct | 360650706 |
9 | 141712860 |
10 | 63132102 |
11 | 327000a0 |
12 | 19186946 |
13 | 10105797 |
14 | 855547c |
15 | 5820c1c |
hex | 3c351c6 |
63132102 has 64 divisors (see below), whose sum is σ = 159736320. Its totient is φ = 18295200.
The previous prime is 63132077. The next prime is 63132103. The reversal of 63132102 is 20123136.
63132102 is a `hidden beast` number, since 631 + 32 + 1 + 0 + 2 = 666.
63132102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (63132103) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11352 + ... + 15972.
It is an arithmetic number, because the mean of its divisors is an integer number (2495880).
Almost surely, 263132102 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 63132102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79868160).
63132102 is an abundant number, since it is smaller than the sum of its proper divisors (96604218).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63132102 is a wasteful number, since it uses less digits than its factorization.
63132102 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4666 (or 4660 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 63132102 is about 7945.5712192391. The cubic root of 63132102 is about 398.1836437761.
Adding to 63132102 its reverse (20123136), we get a palindrome (83255238).
The spelling of 63132102 in words is "sixty-three million, one hundred thirty-two thousand, one hundred two".
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