Base | Representation |
---|---|
bin | 100110110111… |
… | …111010100000 |
3 | 201011201201210 |
4 | 212313322200 |
5 | 10102043441 |
6 | 1002230120 |
7 | 152421621 |
oct | 46677240 |
9 | 21151653 |
10 | 10190496 |
11 | 58302a8 |
12 | 34b5340 |
13 | 215a4a4 |
14 | 14d3a48 |
15 | d64616 |
hex | 9b7ea0 |
10190496 has 48 divisors (see below), whose sum is σ = 27040608. Its totient is φ = 3360000.
The previous prime is 10190483. The next prime is 10190501. The reversal of 10190496 is 69409101.
It is a tau number, because it is divible by the number of its divisors (48).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9171 + ... + 10221.
It is an arithmetic number, because the mean of its divisors is an integer number (563346).
Almost surely, 210190496 is an apocalyptic number.
10190496 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 10190496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13520304).
10190496 is an abundant number, since it is smaller than the sum of its proper divisors (16850112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10190496 is a wasteful number, since it uses less digits than its factorization.
10190496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1165 (or 1157 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 30.
The square root of 10190496 is about 3192.2556288618. The cubic root of 10190496 is about 216.8029102336.
Adding to 10190496 its reverse (69409101), we get a palindrome (79599597).
The spelling of 10190496 in words is "ten million, one hundred ninety thousand, four hundred ninety-six".
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