Base | Representation |
---|---|
bin | 1111000011011… |
… | …1100010000100 |
3 | 11101210221120100 |
4 | 3300313202010 |
5 | 112131021040 |
6 | 10133204100 |
7 | 1364461344 |
oct | 360674204 |
9 | 141727510 |
10 | 63142020 |
11 | 32707597 |
12 | 19190630 |
13 | 1010a156 |
14 | 8558d24 |
15 | 5823b30 |
hex | 3c37884 |
63142020 has 36 divisors (see below), whose sum is σ = 191531340. Its totient is φ = 16837824.
The previous prime is 63142003. The next prime is 63142021. The reversal of 63142020 is 2024136.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 26563716 = 6048^2 + 5154^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 63141984 and 63142002.
It is not an unprimeable number, because it can be changed into a prime (63142021) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175215 + ... + 175574.
It is an arithmetic number, because the mean of its divisors is an integer number (5320315).
Almost surely, 263142020 is an apocalyptic number.
63142020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.
It is an amenable number.
63142020 is an abundant number, since it is smaller than the sum of its proper divisors (128389320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63142020 is a wasteful number, since it uses less digits than its factorization.
63142020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 350804 (or 350799 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 63142020 is about 7946.1953159987. The cubic root of 63142020 is about 398.2044941225.
Adding to 63142020 its reverse (2024136), we get a palindrome (65166156).
The spelling of 63142020 in words is "sixty-three million, one hundred forty-two thousand, twenty".
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