Base | Representation |
---|---|
bin | 100110100010… |
… | …100100000000 |
3 | 201000021202200 |
4 | 212202210000 |
5 | 10041244130 |
6 | 1000313200 |
7 | 151605633 |
oct | 46424400 |
9 | 21007680 |
10 | 10103040 |
11 | 5780622 |
12 | 3472800 |
13 | 212973c |
14 | 14adc1a |
15 | d48760 |
hex | 9a2900 |
10103040 has 108 divisors (see below), whose sum is σ = 34995324. Its totient is φ = 2691072.
The previous prime is 10103039. The next prime is 10103053. The reversal of 10103040 is 4030101.
It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 3873024 = 2496^2 + 1968^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11082 + ... + 11958.
Almost surely, 210103040 is an apocalyptic number.
10103040 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 10103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17497662).
10103040 is an abundant number, since it is smaller than the sum of its proper divisors (24892284).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10103040 is an equidigital number, since it uses as much as digits as its factorization.
10103040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 904 (or 887 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 10103040 is about 3178.5279611795. The cubic root of 10103040 is about 216.1809183820.
Adding to 10103040 its reverse (4030101), we get a palindrome (14133141).
The spelling of 10103040 in words is "ten million, one hundred three thousand, forty".
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