Base | Representation |
---|---|
bin | 10101100001000000000000 |
3 | 101121112220000 |
4 | 111201000000 |
5 | 2420441232 |
6 | 320520000 |
7 | 65640465 |
oct | 25410000 |
9 | 11545800 |
10 | 5640192 |
11 | 3202618 |
12 | 1a80000 |
13 | 12262bc |
14 | a6b66c |
15 | 76627c |
hex | 561000 |
5640192 has 130 divisors (see below), whose sum is σ = 17839998. Its totient is φ = 1769472.
The previous prime is 5640163. The next prime is 5640211. The reversal of 5640192 is 2910465.
5640192 is a `hidden beast` number, since 5 + 640 + 19 + 2 = 666.
It can be written as a sum of positive squares in only one way, i.e., 5308416 + 331776 = 2304^2 + 576^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331768 + ... + 331784.
Almost surely, 25640192 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 5640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8919999).
5640192 is an abundant number, since it is smaller than the sum of its proper divisors (12199806).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5640192 is an equidigital number, since it uses as much as digits as its factorization.
5640192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53 (or 22 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 5640192 is about 2374.9088403558. The cubic root of 5640192 is about 178.0046289248.
It can be divided in two parts, 5640 and 192, that added together give a cube (5832 = 183).
The spelling of 5640192 in words is "five million, six hundred forty thousand, one hundred ninety-two".
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