Search a number
-
+
6031872 = 293271117
BaseRepresentation
bin10111000000101000000000
3102100110011200
4113000220000
53021004442
6333141200
7102161430
oct27005000
912313150
106031872
11344a920
12202a800
131332672
14b302c0
157e234c
hex5c0a00

6031872 has 240 divisors, whose sum is σ = 22980672. Its totient is φ = 1474560.

The previous prime is 6031871. The next prime is 6031891. The reversal of 6031872 is 2781306.

It is not an unprimeable number, because it can be changed into a prime (6031871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354808 + ... + 354824.

Almost surely, 26031872 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 6031872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490336).

6031872 is an abundant number, since it is smaller than the sum of its proper divisors (16948800).

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

6031872 is a wasteful number, since it uses less digits than its factorization.

6031872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6031872 is about 2455.9869706495. The cubic root of 6031872 is about 182.0332427302.

6031872 divided by its product of nonzero digits (2016) gives a palindrome (2992).

It can be divided in two parts, 6031 and 872, that added together give a triangular number (6903 = T117).

The spelling of 6031872 in words is "six million, thirty-one thousand, eight hundred seventy-two".