Base | Representation |
---|---|
bin | 111101000011110… |
… | …100101000111100 |
3 | 2122101121112101100 |
4 | 331003310220330 |
5 | 4044222142340 |
6 | 245352413100 |
7 | 34246234356 |
oct | 7503645074 |
9 | 2571545340 |
10 | 1024412220 |
11 | 486288077 |
12 | 2470a7190 |
13 | 1343069a0 |
14 | 9a0a40d6 |
15 | 5ee04830 |
hex | 3d0f4a3c |
1024412220 has 144 divisors (see below), whose sum is σ = 3424573152. Its totient is φ = 246274560.
The previous prime is 1024412219. The next prime is 1024412239. The reversal of 1024412220 is 222144201.
1024412220 is a `hidden beast` number, since 1 + 0 + 2 + 441 + 2 + 220 = 666.
1024412220 is digitally balanced in base 6, 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 junction number, because it is equal to n+sod(n) for n = 1024412193 and 1024412202.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95530 + ... + 105710.
It is an arithmetic number, because the mean of its divisors is an integer number (23781758).
Almost surely, 21024412220 is an apocalyptic number.
1024412220 is a gapful number since it is divisible by the number (10) 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 1024412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712286576).
1024412220 is an abundant number, since it is smaller than the sum of its proper divisors (2400160932).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1024412220 is a wasteful number, since it uses less digits than its factorization.
1024412220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10252 (or 10247 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 1024412220 is about 32006.4402894168. The cubic root of 1024412220 is about 1008.0720729834.
Adding to 1024412220 its reverse (222144201), we get a palindrome (1246556421).
The spelling of 1024412220 in words is "one billion, twenty-four million, four hundred twelve thousand, two hundred twenty".
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