Base | Representation |
---|---|
bin | 1111000011001… |
… | …1001000110100 |
3 | 11101210000212200 |
4 | 3300303020310 |
5 | 112124432040 |
6 | 10132544500 |
7 | 1364355021 |
oct | 360631064 |
9 | 141700780 |
10 | 63124020 |
11 | 326a5013 |
12 | 19182130 |
13 | 10101bbb |
14 | 8552548 |
15 | 581d630 |
hex | 3c33234 |
63124020 has 72 divisors (see below), whose sum is σ = 194649000. Its totient is φ = 16554240.
The previous prime is 63124003. The next prime is 63124027. The reversal of 63124020 is 2042136.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 5788836 + 57335184 = 2406^2 + 7572^2 .
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 = 63123984 and 63124002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (63124027) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8106 + ... + 13854.
Almost surely, 263124020 is an apocalyptic number.
63124020 is a gapful number since it is divisible by the number (60) 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 63124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97324500).
63124020 is an abundant number, since it is smaller than the sum of its proper divisors (131524980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63124020 is a wasteful number, since it uses less digits than its factorization.
63124020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5825 (or 5820 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 63124020 is about 7945.0626177520. The cubic root of 63124020 is about 398.1666515886.
Adding to 63124020 its reverse (2042136), we get a palindrome (65166156).
The spelling of 63124020 in words is "sixty-three million, one hundred twenty-four thousand, twenty".
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