Search a number
-
+
5840128 = 2873259
BaseRepresentation
bin10110010001110100000000
3101222201011001
4112101310000
52443341003
6325101344
7100432420
oct26216400
911881131
105840128
113329858
121b57854
1312962c8
14ac0480
157a561d
hex591d00

5840128 has 36 divisors (see below), whose sum is σ = 13326880. Its totient is φ = 2502144.

The previous prime is 5840119. The next prime is 5840161. The reversal of 5840128 is 8210485.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5840096 and 5840105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163 + ... + 3421.

Almost surely, 25840128 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 5840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6663440).

5840128 is an abundant number, since it is smaller than the sum of its proper divisors (7486752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5840128 is an equidigital number, since it uses as much as digits as its factorization.

5840128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 5840128 is about 2416.6356779622. The cubic root of 5840128 is about 180.0835825818.

It can be divided in two parts, 58 and 40128, that added together give a triangular number (40186 = T283).

The spelling of 5840128 in words is "five million, eight hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 3259 6518 13036 22813 26072 45626 52144 91252 104288 182504 208576 365008 417152 730016 834304 1460032 2920064 5840128