Base | Representation |
---|---|
bin | 100110001101… |
… | …011001111100 |
3 | 200211212220001 |
4 | 212031121330 |
5 | 10031011010 |
6 | 554404044 |
7 | 151065163 |
oct | 46153174 |
9 | 20755801 |
10 | 10016380 |
11 | 5721500 |
12 | 3430624 |
13 | 20c916a |
14 | 148a3da |
15 | d2cc3a |
hex | 98d67c |
10016380 has 36 divisors (see below), whose sum is σ = 23126040. Its totient is φ = 3641440.
The previous prime is 10016353. The next prime is 10016387. The reversal of 10016380 is 8361001.
10016380 = T185 + T186 + ... + T404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10016387) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 351 + ... + 4489.
It is an arithmetic number, because the mean of its divisors is an integer number (642390).
Almost surely, 210016380 is an apocalyptic number.
10016380 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 10016380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11563020).
10016380 is an abundant number, since it is smaller than the sum of its proper divisors (13109660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10016380 is a wasteful number, since it uses less digits than its factorization.
10016380 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4170 (or 4157 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 19.
The square root of 10016380 is about 3164.8665058735. The cubic root of 10016380 is about 215.5610369685.
Adding to 10016380 its reverse (8361001), we get a palindrome (18377381).
It can be divided in two parts, 1001 and 6380, that added together give a triangular number (7381 = T121).
The spelling of 10016380 in words is "ten million, sixteen thousand, three hundred eighty".
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