Search a number
-
+
6003972 = 22321312829
BaseRepresentation
bin10110111001110100000100
3102022000220100
4112321310010
53014111342
6332404100
7102014202
oct26716404
912260810
106003972
113430967
122016630
131322a60
14b24072
157d8e4c
hex5b9d04

6003972 has 36 divisors (see below), whose sum is σ = 16345420. Its totient is φ = 1847232.

The previous prime is 6003967. The next prime is 6003983. The reversal of 6003972 is 2793006.

It can be written as a sum of positive squares in 2 ways, for example, as 2742336 + 3261636 = 1656^2 + 1806^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5947 + ... + 6882.

Almost surely, 26003972 is an apocalyptic number.

It is an amenable number.

6003972 is an abundant number, since it is smaller than the sum of its proper divisors (10341448).

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

6003972 is a wasteful number, since it uses less digits than its factorization.

6003972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12852 (or 12847 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 6003972 is about 2450.3003897482. The cubic root of 6003972 is about 181.7521482326.

Adding to 6003972 its reverse (2793006), we get a palindrome (8796978).

The spelling of 6003972 in words is "six million, three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 12829 25658 38487 51316 76974 115461 153948 166777 230922 333554 461844 500331 667108 1000662 1500993 2001324 3001986 6003972