Base | Representation |
---|---|
bin | 100010111110111001000 |
3 | 2011020110000 |
4 | 10113313020 |
5 | 243140222 |
6 | 40323000 |
7 | 12513006 |
oct | 4276710 |
9 | 2136400 |
10 | 1146312 |
11 | 713272 |
12 | 473460 |
13 | 3119bb |
14 | 21ba76 |
15 | 1799ac |
hex | 117dc8 |
1146312 has 80 divisors (see below), whose sum is σ = 3375900. Its totient is φ = 362880.
The previous prime is 1146307. The next prime is 1146323. The reversal of 1146312 is 2136411.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 1052676 + 93636 = 1026^2 + 306^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a plaindrome in base 15.
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 18762 + ... + 18822.
21146312 is an apocalyptic number.
1146312 is a gapful number since it is divisible by the number (12) 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 1146312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687950).
1146312 is an abundant number, since it is smaller than the sum of its proper divisors (2229588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1146312 is a wasteful number, since it uses less digits than its factorization.
1146312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 108 (or 95 counting only the distinct ones).
The product of its digits is 144, while the sum is 18.
The square root of 1146312 is about 1070.6596097733. The cubic root of 1146312 is about 104.6568388859.
Subtracting 1146312 from its reverse (2136411), we obtain a palindrome (990099).
The spelling of 1146312 in words is "one million, one hundred forty-six thousand, three hundred twelve".
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