Base | Representation |
---|---|
bin | 10011011110101… |
… | …10100111000000 |
3 | 102101111000002000 |
4 | 21233112213000 |
5 | 313313031240 |
6 | 24114224000 |
7 | 4022643045 |
oct | 1157264700 |
9 | 371430060 |
10 | 163408320 |
11 | 842700a9 |
12 | 46885000 |
13 | 27b14c1a |
14 | 179b91cc |
15 | e52c430 |
hex | 9bd69c0 |
163408320 has 112 divisors (see below), whose sum is σ = 576498720. Its totient is φ = 43573248.
The previous prime is 163408319. The next prime is 163408321. The reversal of 163408320 is 23804361.
It is a happy number.
163408320 is a `hidden beast` number, since 1 + 634 + 0 + 8 + 3 + 20 = 666.
163408320 is digitally balanced in base 2, because in such base 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 (163408319) and next prime (163408321).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (163408321) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817 + ... + 18096.
It is an arithmetic number, because the mean of its divisors is an integer number (5147310).
Almost surely, 2163408320 is an apocalyptic number.
163408320 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 163408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288249360).
163408320 is an abundant number, since it is smaller than the sum of its proper divisors (413090400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
163408320 is a wasteful number, since it uses less digits than its factorization.
163408320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18939 (or 18923 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 163408320 is about 12783.1263781596. The cubic root of 163408320 is about 546.7113057606.
The spelling of 163408320 in words is "one hundred sixty-three million, four hundred eight thousand, three hundred twenty".
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