Base | Representation |
---|---|
bin | 100010111110111010000 |
3 | 2011020110022 |
4 | 10113313100 |
5 | 243140240 |
6 | 40323012 |
7 | 12513020 |
oct | 4276720 |
9 | 2136408 |
10 | 1146320 |
11 | 71327a |
12 | 473468 |
13 | 3119c6 |
14 | 21ba80 |
15 | 1799b5 |
hex | 117dd0 |
1146320 has 80 divisors (see below), whose sum is σ = 3214080. Its totient is φ = 371712.
The previous prime is 1146307. The next prime is 1146323. The reversal of 1146320 is 236411.
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1146323) 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 15 ways as a sum of consecutive naturals, for example, 12836 + ... + 12924.
It is an arithmetic number, because the mean of its divisors is an integer number (40176).
21146320 is an apocalyptic number.
1146320 is a gapful number since it is divisible by the number (10) 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 1146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040).
1146320 is an abundant number, since it is smaller than the sum of its proper divisors (2067760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1146320 is a wasteful number, since it uses less digits than its factorization.
1146320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 132 (or 126 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 17.
The square root of 1146320 is about 1070.6633457815. The cubic root of 1146320 is about 104.6570823487.
Subtracting from 1146320 its reverse (236411), we obtain a palindrome (909909).
The spelling of 1146320 in words is "one million, one hundred forty-six thousand, three hundred twenty".
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