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6442260 = 22351143227
BaseRepresentation
bin11000100100110100010100
3110010022010020
4120210310110
53122123020
6350025140
7105521046
oct30446424
913108106
106442260
113700190
1221a81b0
1314473b6
14bd9a96
15873c40
hex624d14

6442260 has 96 divisors (see below), whose sum is σ = 20224512. Its totient is φ = 1518720.

The previous prime is 6442259. The next prime is 6442279. The reversal of 6442260 is 622446.

It is a self number, because there is not a number n which added to its sum of digits gives 6442260.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28267 + ... + 28493.

It is an arithmetic number, because the mean of its divisors is an integer number (210672).

Almost surely, 26442260 is an apocalyptic number.

6442260 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6442260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112256).

6442260 is an abundant number, since it is smaller than the sum of its proper divisors (13782252).

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

6442260 is a wasteful number, since it uses less digits than its factorization.

6442260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6442260 is about 2538.1607514104. The cubic root of 6442260 is about 186.0713103838.

It can be divided in two parts, 64 and 42260, that added together give a palindrome (42324).

The spelling of 6442260 in words is "six million, four hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 227 258 330 430 454 473 516 645 660 681 860 908 946 1135 1290 1362 1419 1892 2270 2365 2497 2580 2724 2838 3405 4540 4730 4994 5676 6810 7095 7491 9460 9761 9988 12485 13620 14190 14982 19522 24970 28380 29283 29964 37455 39044 48805 49940 58566 74910 97610 107371 117132 146415 149820 195220 214742 292830 322113 429484 536855 585660 644226 1073710 1288452 1610565 2147420 3221130 6442260