Base | Representation |
---|---|
bin | 10101101001001010000000 |
3 | 101200020201100 |
4 | 111221022000 |
5 | 2423023400 |
6 | 321334400 |
7 | 66140052 |
oct | 25511200 |
9 | 11606640 |
10 | 5673600 |
11 | 3225729 |
12 | 1a97400 |
13 | 123857a |
14 | a798d2 |
15 | 771100 |
hex | 569280 |
5673600 has 144 divisors (see below), whose sum is σ = 20347470. Its totient is φ = 1505280.
The previous prime is 5673587. The next prime is 5673601. The reversal of 5673600 is 63765.
5673600 is a `hidden beast` number, since 56 + 7 + 3 + 600 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 5419584 + 254016 = 2328^2 + 504^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a nialpdrome in base 15.
It is a zygodrome in base 15.
It is not an unprimeable number, because it can be changed into a prime (5673601) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28702 + ... + 28898.
Almost surely, 25673600 is an apocalyptic number.
5673600 is a gapful number since it is divisible by the number (50) 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 5673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10173735).
5673600 is an abundant number, since it is smaller than the sum of its proper divisors (14673870).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5673600 is a wasteful number, since it uses less digits than its factorization.
5673600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 227 (or 207 counting only the distinct ones).
The product of its (nonzero) digits is 3780, while the sum is 27.
The square root of 5673600 is about 2381.9319889535. The cubic root of 5673600 is about 178.3553897856.
The spelling of 5673600 in words is "five million, six hundred seventy-three thousand, six hundred".
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