Base | Representation |
---|---|
bin | 10101101001001111000000 |
3 | 101200021011012 |
4 | 111221033000 |
5 | 2423031140 |
6 | 321340052 |
7 | 66141020 |
oct | 25511700 |
9 | 11607135 |
10 | 5673920 |
11 | 322599a |
12 | 1a97628 |
13 | 1238765 |
14 | a79a80 |
15 | 771265 |
hex | 5693c0 |
5673920 has 112 divisors (see below), whose sum is σ = 16459200. Its totient is φ = 1818624.
The previous prime is 5673911. The next prime is 5673929. The reversal of 5673920 is 293765.
5673920 is digitally balanced in base 5, 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 (5673911) and next prime (5673929).
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5673929) 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, 38006 + ... + 38154.
Almost surely, 25673920 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 5673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8229600).
5673920 is an abundant number, since it is smaller than the sum of its proper divisors (10785280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5673920 is a wasteful number, since it uses less digits than its factorization.
5673920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 190 (or 180 counting only the distinct ones).
The product of its (nonzero) digits is 11340, while the sum is 32.
The square root of 5673920 is about 2381.9991603693. Note that the first 3 decimals coincide. The cubic root of 5673920 is about 178.3587428978.
5673920 divided by its sum of digits (32) gives a triangular number (177310 = T595).
The spelling of 5673920 in words is "five million, six hundred seventy-three thousand, nine hundred twenty".
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