Base | Representation |
---|---|
bin | 11110111011001010000 |
3 | 1220111000200 |
4 | 3313121100 |
5 | 224411303 |
6 | 33415200 |
7 | 11420211 |
oct | 3673120 |
9 | 1814020 |
10 | 1013328 |
11 | 632368 |
12 | 40a500 |
13 | 296304 |
14 | 1c5408 |
15 | 1503a3 |
hex | f7650 |
1013328 has 60 divisors (see below), whose sum is σ = 2940288. Its totient is φ = 325440.
The previous prime is 1013321. The next prime is 1013329. The reversal of 1013328 is 8233101.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nialpdrome in base 16.
It is a self number, because there is not a number n which added to its sum of digits gives 1013328.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1013321) 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 11 ways as a sum of consecutive naturals, for example, 4351 + ... + 4577.
21013328 is an apocalyptic number.
1013328 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 1013328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470144).
1013328 is an abundant number, since it is smaller than the sum of its proper divisors (1926960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1013328 is a wasteful number, since it uses less digits than its factorization.
1013328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 272 (or 263 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 1013328 is about 1006.6419423012. The cubic root of 1013328 is about 100.4423074237.
Adding to 1013328 its reverse (8233101), we get a palindrome (9246429).
The spelling of 1013328 in words is "one million, thirteen thousand, three hundred twenty-eight".
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