Base | Representation |
---|---|
bin | 100110110000… |
… | …0111110010000 |
3 | 1102020100222221 |
4 | 1031200332100 |
5 | 20200221034 |
6 | 2003310424 |
7 | 334501255 |
oct | 115407620 |
9 | 42210887 |
10 | 20320144 |
11 | 10519909 |
12 | 697b414 |
13 | 4296070 |
14 | 29ad42c |
15 | 1bb5bb4 |
hex | 1360f90 |
20320144 has 40 divisors (see below), whose sum is σ = 42691712. Its totient is φ = 9313920.
The previous prime is 20320103. The next prime is 20320171. The reversal of 20320144 is 44102302.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 43657 + ... + 44119.
Almost surely, 220320144 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 20320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21345856).
20320144 is an abundant number, since it is smaller than the sum of its proper divisors (22371568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20320144 is a wasteful number, since it uses less digits than its factorization.
20320144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 695 (or 689 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 20320144 is about 4507.7870402227. The cubic root of 20320144 is about 272.8824425537.
Adding to 20320144 its reverse (44102302), we get a palindrome (64422446).
The spelling of 20320144 in words is "twenty million, three hundred twenty thousand, one hundred forty-four".
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