Search a number
-
+
6052032 = 263271979
BaseRepresentation
bin10111000101100011000000
3102101110211100
4113011203000
53022131112
6333414400
7102304260
oct27054300
912343740
106052032
113463a88
12203a400
13133b8ac
14b377a0
157e82dc
hex5c58c0

6052032 has 168 divisors, whose sum is σ = 21132800. Its totient is φ = 1617408.

The previous prime is 6052031. The next prime is 6052061. The reversal of 6052032 is 2302506.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6051996 and 6052014.

It is not an unprimeable number, because it can be changed into a prime (6052031) 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, 76569 + ... + 76647.

Almost surely, 26052032 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 6052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10566400).

6052032 is an abundant number, since it is smaller than the sum of its proper divisors (15080768).

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

6052032 is a wasteful number, since it uses less digits than its factorization.

6052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 6052032 is about 2460.0878033111. The cubic root of 6052032 is about 182.2358171715.

Adding to 6052032 its reverse (2302506), we get a palindrome (8354538).

The spelling of 6052032 in words is "six million, fifty-two thousand, thirty-two", and thus it is an eban number.