Base | Representation |
---|---|
bin | 100110110001… |
… | …011011001100 |
3 | 201010101021100 |
4 | 212301123030 |
5 | 10100221131 |
6 | 1001503100 |
7 | 152251260 |
oct | 46613314 |
9 | 21111240 |
10 | 10163916 |
11 | 5812334 |
12 | 34a1a90 |
13 | 214b369 |
14 | 14c80a0 |
15 | d5b7e6 |
hex | 9b16cc |
10163916 has 72 divisors (see below), whose sum is σ = 29955744. Its totient is φ = 2845440.
The previous prime is 10163911. The next prime is 10163921. The reversal of 10163916 is 61936101.
10163916 is a `hidden beast` number, since 10 + 1 + 639 + 16 = 666.
10163916 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10163911) and next prime (10163921).
It is a self number, because there is not a number n which added to its sum of digits gives 10163916.
It is not an unprimeable number, because it can be changed into a prime (10163911) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12976 + ... + 13736.
It is an arithmetic number, because the mean of its divisors is an integer number (416052).
Almost surely, 210163916 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10163916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).
10163916 is an abundant number, since it is smaller than the sum of its proper divisors (19791828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10163916 is a wasteful number, since it uses less digits than its factorization.
10163916 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 831 (or 826 counting only the distinct ones).
The product of its (nonzero) digits is 972, while the sum is 27.
The square root of 10163916 is about 3188.0897101556. The cubic root of 10163916 is about 216.6142495159.
The spelling of 10163916 in words is "ten million, one hundred sixty-three thousand, nine hundred sixteen".
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