Base | Representation |
---|---|
bin | 10000000011010… |
… | …000100001000100 |
3 | 200202201022210200 |
4 | 100003100201010 |
5 | 1022414231130 |
6 | 42415450500 |
7 | 6446631462 |
oct | 2003204104 |
9 | 622638720 |
10 | 269289540 |
11 | 129009243 |
12 | 76226a30 |
13 | 43a37630 |
14 | 27a9b832 |
15 | 18994760 |
hex | 100d0844 |
269289540 has 144 divisors (see below), whose sum is σ = 886489968. Its totient is φ = 65774592.
The previous prime is 269289539. The next prime is 269289547. The reversal of 269289540 is 45982962.
269289540 is a `hidden beast` number, since 26 + 9 + 2 + 89 + 540 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 788544 + 268500996 = 888^2 + 16386^2 .
It is a Smith number, since the sum of its digits (45) 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 (45).
It is not an unprimeable number, because it can be changed into a prime (269289547) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367014 + ... + 367746.
Almost surely, 2269289540 is an apocalyptic number.
269289540 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 269289540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443244984).
269289540 is an abundant number, since it is smaller than the sum of its proper divisors (617200428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
269289540 is a wasteful number, since it uses less digits than its factorization.
269289540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 918 (or 913 counting only the distinct ones).
The product of its (nonzero) digits is 311040, while the sum is 45.
The square root of 269289540 is about 16410.0438756269. The cubic root of 269289540 is about 645.7630054625.
The spelling of 269289540 in words is "two hundred sixty-nine million, two hundred eighty-nine thousand, five hundred forty".
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