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6031072 = 25296797
BaseRepresentation
bin10111000000011011100000
3102100102002001
4113000123200
53020443242
6333133344
7102156205
oct27003340
912312061
106031072
11344a263
12202a254
1313321a8
14b2dcac
157e1eb7
hex5c06e0

6031072 has 48 divisors (see below), whose sum is σ = 12594960. Its totient is φ = 2838528.

The previous prime is 6031063. The next prime is 6031099. The reversal of 6031072 is 2701306.

It is a super-3 number, since 3×60310723 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62128 + ... + 62224.

It is an arithmetic number, because the mean of its divisors is an integer number (262395).

Almost surely, 26031072 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 6031072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297480).

6031072 is an abundant number, since it is smaller than the sum of its proper divisors (6563888).

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

6031072 is a wasteful number, since it uses less digits than its factorization.

6031072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 6031072 is about 2455.8240979354. The cubic root of 6031072 is about 182.0251947570.

Adding to 6031072 its reverse (2701306), we get a palindrome (8732378).

It can be divided in two parts, 603 and 1072, that multiplied together give a square (646416 = 8042).

The spelling of 6031072 in words is "six million, thirty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 58 67 97 116 134 194 232 268 388 464 536 776 928 1072 1552 1943 2144 2813 3104 3886 5626 6499 7772 11252 12998 15544 22504 25996 31088 45008 51992 62176 90016 103984 188471 207968 376942 753884 1507768 3015536 6031072