Search a number
-
+
6004272 = 243671867
BaseRepresentation
bin10110111001111000110000
3102022001022110
4112321320300
53014114042
6332405320
7102015111
oct26717060
912261273
106004272
11343110a
122016840
131322c31
14b24208
157d909c
hex5b9e30

6004272 has 40 divisors (see below), whose sum is σ = 15750976. Its totient is φ = 1970496.

The previous prime is 6004259. The next prime is 6004277. The reversal of 6004272 is 2724006.

It is a happy number.

6004272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (6004277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2283 + ... + 4149.

Almost surely, 26004272 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 6004272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7875488).

6004272 is an abundant number, since it is smaller than the sum of its proper divisors (9746704).

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

6004272 is a wasteful number, since it uses less digits than its factorization.

6004272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 6004272 is about 2450.3616059676. The cubic root of 6004272 is about 181.7551753807.

Adding to 6004272 its reverse (2724006), we get a palindrome (8728278).

The spelling of 6004272 in words is "six million, four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 1867 3216 3734 5601 7468 11202 14936 22404 29872 44808 89616 125089 250178 375267 500356 750534 1000712 1501068 2001424 3002136 6004272