Search a number
-
+
6003140 = 22511132099
BaseRepresentation
bin10110111001100111000100
3102021222202112
4112321213010
53014100030
6332400152
7102011603
oct26714704
912258675
106003140
113430280
122016058
131322570
14b23a3a
157d8a95
hex5b99c4

6003140 has 48 divisors (see below), whose sum is σ = 14817600. Its totient is φ = 2014080.

The previous prime is 6003113. The next prime is 6003143. The reversal of 6003140 is 413006.

It is not an unprimeable number, because it can be changed into a prime (6003143) 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, 1811 + ... + 3909.

It is an arithmetic number, because the mean of its divisors is an integer number (308700).

Almost surely, 26003140 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 6003140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408800).

6003140 is an abundant number, since it is smaller than the sum of its proper divisors (8814460).

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

6003140 is a wasteful number, since it uses less digits than its factorization.

6003140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 6003140 is about 2450.1306087635. The cubic root of 6003140 is about 181.7437524144.

Adding to 6003140 its reverse (413006), we get a palindrome (6416146).

The spelling of 6003140 in words is "six million, three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2099 2860 4198 8396 10495 20990 23089 27287 41980 46178 54574 92356 109148 115445 136435 230890 272870 300157 461780 545740 600314 1200628 1500785 3001570 6003140