Base | Representation |
---|---|
bin | 100011110000110… |
… | …1100000000001000 |
3 | 10002122000222210210 |
4 | 1013201230000020 |
5 | 4424200411240 |
6 | 315024241120 |
7 | 41510642052 |
oct | 10741540010 |
9 | 3078028723 |
10 | 1200013320 |
11 | 566415850 |
12 | 295a701a0 |
13 | 1617ca56c |
14 | b55348d2 |
15 | 7053e780 |
hex | 4786c008 |
1200013320 has 128 divisors (see below), whose sum is σ = 3966641280. Its totient is φ = 288000000.
The previous prime is 1200013273. The next prime is 1200013361. The reversal of 1200013320 is 233100021.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (12).
1200013320 is a modest number, since divided by 13320 gives 1200 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 1200013296 and 1200013305.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128820 + ... + 137820.
It is an arithmetic number, because the mean of its divisors is an integer number (30989385).
Almost surely, 21200013320 is an apocalyptic number.
1200013320 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 1200013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983320640).
1200013320 is an abundant number, since it is smaller than the sum of its proper divisors (2766627960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1200013320 is a wasteful number, since it uses less digits than its factorization.
1200013320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9127 (or 9123 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 1200013320 is about 34641.2084084837. The cubic root of 1200013320 is about 1062.6625010048.
Adding to 1200013320 its reverse (233100021), we get a palindrome (1433113341).
It can be divided in two parts, 120001 and 3320, that added together give a palindrome (123321).
The spelling of 1200013320 in words is "one billion, two hundred million, thirteen thousand, three hundred twenty".
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