Base | Representation |
---|---|
bin | 100110101010… |
… | …100111010000 |
3 | 201001222000000 |
4 | 212222213100 |
5 | 10043323031 |
6 | 1001130000 |
7 | 152104032 |
oct | 46524720 |
9 | 21058000 |
10 | 10136016 |
11 | 57a3380 |
12 | 3489900 |
13 | 213b757 |
14 | 14bbc52 |
15 | d533e6 |
hex | 9aa9d0 |
10136016 has 140 divisors (see below), whose sum is σ = 32527680. Its totient is φ = 3032640.
The previous prime is 10136011. The next prime is 10136017. The reversal of 10136016 is 61063101.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 10136016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10136011) by changing a digit.
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 27 ways as a sum of consecutive naturals, for example, 128265 + ... + 128343.
Almost surely, 210136016 is an apocalyptic number.
10136016 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 10136016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16263840).
10136016 is an abundant number, since it is smaller than the sum of its proper divisors (22391664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10136016 is an equidigital number, since it uses as much as digits as its factorization.
10136016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116 (or 95 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
The square root of 10136016 is about 3183.7110421645. The cubic root of 10136016 is about 216.4158654857.
Adding to 10136016 its reverse (61063101), we get a palindrome (71199117).
The spelling of 10136016 in words is "ten million, one hundred thirty-six thousand, sixteen".
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