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6441072 = 2431121109
BaseRepresentation
bin11000100100100001110000
3110010020111020
4120210201300
53122103242
6350015440
7105514431
oct30444160
913106436
106441072
1136aa300
1221a7580
1314469b1
14bd9488
158736ec
hex624870

6441072 has 60 divisors (see below), whose sum is σ = 18306120. Its totient is φ = 1950080.

The previous prime is 6441053. The next prime is 6441077. The reversal of 6441072 is 2701446.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6441077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5254 + ... + 6362.

It is an arithmetic number, because the mean of its divisors is an integer number (305102).

Almost surely, 26441072 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 6441072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153060).

6441072 is an abundant number, since it is smaller than the sum of its proper divisors (11865048).

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

6441072 is a wasteful number, since it uses less digits than its factorization.

6441072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 6441072 is about 2537.9267128899. The cubic root of 6441072 is about 186.0598720425.

The spelling of 6441072 in words is "six million, four hundred forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1109 1452 1936 2218 2904 3327 4436 5808 6654 8872 12199 13308 17744 24398 26616 36597 48796 53232 73194 97592 134189 146388 195184 268378 292776 402567 536756 585552 805134 1073512 1610268 2147024 3220536 6441072