Base | Representation |
---|---|
bin | 101000001011… |
… | …110110110000 |
3 | 201211012101000 |
4 | 220023312300 |
5 | 10144044240 |
6 | 1013442000 |
7 | 155353206 |
oct | 50136660 |
9 | 21735330 |
10 | 10534320 |
11 | 5a45655 |
12 | 3640300 |
13 | 224ab34 |
14 | 1583076 |
15 | dd1430 |
hex | a0bdb0 |
10534320 has 80 divisors (see below), whose sum is σ = 36292320. Its totient is φ = 2808576.
The previous prime is 10534313. The next prime is 10534331. The reversal of 10534320 is 2343501.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×105343202 = 221943795724800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10534293 and 10534302.
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 15 ways as a sum of consecutive naturals, for example, 279 + ... + 4598.
It is an arithmetic number, because the mean of its divisors is an integer number (453654).
Almost surely, 210534320 is an apocalyptic number.
10534320 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 10534320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18146160).
10534320 is an abundant number, since it is smaller than the sum of its proper divisors (25758000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10534320 is a wasteful number, since it uses less digits than its factorization.
10534320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4899 (or 4887 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 10534320 is about 3245.6617198963. The cubic root of 10534320 is about 219.2142770462.
Adding to 10534320 its reverse (2343501), we get a palindrome (12877821).
The spelling of 10534320 in words is "ten million, five hundred thirty-four thousand, three hundred twenty".
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