Base | Representation |
---|---|
bin | 100111011100… |
… | …111000100000 |
3 | 201110102110002 |
4 | 213130320200 |
5 | 10121420140 |
6 | 1005355132 |
7 | 153622241 |
oct | 47347040 |
9 | 21412402 |
10 | 10341920 |
11 | 5924046 |
12 | 3568aa8 |
13 | 21b13a4 |
14 | 1532cc8 |
15 | d94415 |
hex | 9dce20 |
10341920 has 48 divisors (see below), whose sum is σ = 24698520. Its totient is φ = 4091904.
The previous prime is 10341913. The next prime is 10341959. The reversal of 10341920 is 2914301.
It can be written as a sum of positive squares in 4 ways, for example, as 9412624 + 929296 = 3068^2 + 964^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 10341892 and 10341901.
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 7 ways as a sum of consecutive naturals, for example, 17144 + ... + 17736.
Almost surely, 210341920 is an apocalyptic number.
10341920 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 10341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12349260).
10341920 is an abundant number, since it is smaller than the sum of its proper divisors (14356600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10341920 is a wasteful number, since it uses less digits than its factorization.
10341920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 717 (or 709 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 20.
The square root of 10341920 is about 3215.8855701035. The cubic root of 10341920 is about 217.8714838846.
The spelling of 10341920 in words is "ten million, three hundred forty-one thousand, nine hundred twenty".
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