Base | Representation |
---|---|
bin | 100110010101… |
… | …000111000000 |
3 | 200220111011210 |
4 | 212111013000 |
5 | 10033013221 |
6 | 555210120 |
7 | 151256163 |
oct | 46250700 |
9 | 20814153 |
10 | 10047936 |
11 | 5743188 |
12 | 3446940 |
13 | 210a632 |
14 | 1497ada |
15 | d37276 |
hex | 9951c0 |
10047936 has 56 divisors (see below), whose sum is σ = 27066240. Its totient is φ = 3288832.
The previous prime is 10047907. The next prime is 10047943. The reversal of 10047936 is 63974001.
It is a happy number.
It is a super-2 number, since 2×100479362 = 201922035720192, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10885 + ... + 11771.
Almost surely, 210047936 is an apocalyptic number.
10047936 is a gapful number since it is divisible by the number (16) 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 10047936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533120).
10047936 is an abundant number, since it is smaller than the sum of its proper divisors (17018304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10047936 is an equidigital number, since it uses as much as digits as its factorization.
10047936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 961 (or 951 counting only the distinct ones).
The product of its (nonzero) digits is 4536, while the sum is 30.
The square root of 10047936 is about 3169.8479458801. The cubic root of 10047936 is about 215.7871703356.
The spelling of 10047936 in words is "ten million, forty-seven thousand, nine hundred thirty-six".
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