Base | Representation |
---|---|
bin | 100111000110010010000 |
3 | 2102002102200 |
4 | 10320302100 |
5 | 311444133 |
6 | 43243200 |
7 | 13614120 |
oct | 4706220 |
9 | 2362380 |
10 | 1281168 |
11 | 7a5619 |
12 | 519500 |
13 | 35b1b5 |
14 | 254c80 |
15 | 1a4913 |
hex | 138c90 |
1281168 has 120 divisors (see below), whose sum is σ = 4333056. Its totient is φ = 345600.
The previous prime is 1281167. The next prime is 1281187. The reversal of 1281168 is 8611821.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1281167) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31228 + ... + 31268.
21281168 is an apocalyptic number.
1281168 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 1281168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166528).
1281168 is an abundant number, since it is smaller than the sum of its proper divisors (3051888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1281168 is a wasteful number, since it uses less digits than its factorization.
1281168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 93 (or 84 counting only the distinct ones).
The product of its digits is 768, while the sum is 27.
The square root of 1281168 is about 1131.8869201471. The cubic root of 1281168 is about 108.6097200380.
Adding to 1281168 its reverse (8611821), we get a palindrome (9892989).
It can be divided in two parts, 128 and 1168, that added together give a 4-th power (1296 = 64).
The spelling of 1281168 in words is "one million, two hundred eighty-one thousand, one hundred sixty-eight".
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