Base | Representation |
---|---|
bin | 100110010001… |
… | …0100010100000 |
3 | 1101202101012112 |
4 | 1030202202200 |
5 | 20114030131 |
6 | 1554014452 |
7 | 332354561 |
oct | 114424240 |
9 | 41671175 |
10 | 20064416 |
11 | 10364769 |
12 | 6877428 |
13 | 4206848 |
14 | 2944168 |
15 | 1b6502b |
hex | 13228a0 |
20064416 has 36 divisors (see below), whose sum is σ = 40597326. Its totient is φ = 9761280.
The previous prime is 20064413. The next prime is 20064431. The reversal of 20064416 is 61446002.
It is a happy number.
It can be written as a sum of positive squares in 3 ways, for example, as 7075600 + 12988816 = 2660^2 + 3604^2 .
It is a junction number, because it is equal to n+sod(n) for n = 20064391 and 20064400.
It is not an unprimeable number, because it can be changed into a prime (20064413) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53606 + ... + 53978.
Almost surely, 220064416 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 20064416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20298663).
20064416 is an abundant number, since it is smaller than the sum of its proper divisors (20532910).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20064416 is an equidigital number, since it uses as much as digits as its factorization.
20064416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 465 (or 416 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 23.
The square root of 20064416 is about 4479.3320930692. The cubic root of 20064416 is about 271.7328692251.
The spelling of 20064416 in words is "twenty million, sixty-four thousand, four hundred sixteen".
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