Base | Representation |
---|---|
bin | 1000000011011001… |
… | …0001000110010100 |
3 | 12120122122012220100 |
4 | 2000312101012110 |
5 | 13411344200320 |
6 | 554300534100 |
7 | 104366140641 |
oct | 20066210624 |
9 | 5518565810 |
10 | 2161709460 |
11 | a0a257349 |
12 | 503b51330 |
13 | 285b15c31 |
14 | 167150dc8 |
15 | c9ba6790 |
hex | 80d91194 |
2161709460 has 288 divisors, whose sum is σ = 7270597152. Its totient is φ = 517570560.
The previous prime is 2161709449. The next prime is 2161709467. The reversal of 2161709460 is 649071612.
2161709460 is a `hidden beast` number, since 21 + 6 + 170 + 9 + 460 = 666.
It can be written as a sum of positive squares in 16 ways, for example, as 989605764 + 1172103696 = 31458^2 + 34236^2 .
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 (2161709467) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6906264 + ... + 6906576.
It is an arithmetic number, because the mean of its divisors is an integer number (25245129).
Almost surely, 22161709460 is an apocalyptic number.
2161709460 is a gapful number since it is divisible by the number (20) 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 2161709460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635298576).
2161709460 is an abundant number, since it is smaller than the sum of its proper divisors (5108887692).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2161709460 is a wasteful number, since it uses less digits than its factorization.
2161709460 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 443 (or 438 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 36.
The square root of 2161709460 is about 46494.1873786391. The cubic root of 2161709460 is about 1293.0017352022.
The spelling of 2161709460 in words is "two billion, one hundred sixty-one million, seven hundred nine thousand, four hundred sixty".
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