Base | Representation |
---|---|
bin | 100001011011001… |
… | …1111010110110100 |
3 | 2220011110012011100 |
4 | 1002312133112310 |
5 | 4244111033333 |
6 | 303143210100 |
7 | 36536163621 |
oct | 10266372664 |
9 | 2804405140 |
10 | 1121580468 |
11 | 526115008 |
12 | 273746930 |
13 | 14b4985a8 |
14 | a8d59348 |
15 | 686ea213 |
hex | 42d9f5b4 |
1121580468 has 72 divisors (see below), whose sum is σ = 2914906176. Its totient is φ = 363484800.
The previous prime is 1121580463. The next prime is 1121580511. The reversal of 1121580468 is 8640851211.
1121580468 is a `hidden beast` number, since 1 + 12 + 1 + 580 + 4 + 68 = 666.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1121580463) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183583 + ... + 189593.
It is an arithmetic number, because the mean of its divisors is an integer number (40484808).
Almost surely, 21121580468 is an apocalyptic number.
1121580468 is a gapful number since it is divisible by the number (18) 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 1121580468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457453088).
1121580468 is an abundant number, since it is smaller than the sum of its proper divisors (1793325708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1121580468 is a wasteful number, since it uses less digits than its factorization.
1121580468 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6165 (or 6160 counting only the distinct ones).
The product of its (nonzero) digits is 15360, while the sum is 36.
The square root of 1121580468 is about 33490.0054941769. The cubic root of 1121580468 is about 1038.9870771325.
The spelling of 1121580468 in words is "one billion, one hundred twenty-one million, five hundred eighty thousand, four hundred sixty-eight".
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