Search a number
-
+
6455168 = 27293747
BaseRepresentation
bin11000100111111110000000
3110010221211022
4120213332000
53123031133
6350205012
7105603506
oct30477600
913127738
106455168
113709955
1221b3768
131450235
14c00676
15877998
hex627f80

6455168 has 64 divisors (see below), whose sum is σ = 13953600. Its totient is φ = 2967552.

The previous prime is 6455167. The next prime is 6455173. The reversal of 6455168 is 8615546.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6455167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137321 + ... + 137367.

It is an arithmetic number, because the mean of its divisors is an integer number (218025).

Almost surely, 26455168 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 6455168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976800).

6455168 is an abundant number, since it is smaller than the sum of its proper divisors (7498432).

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

6455168 is a wasteful number, since it uses less digits than its factorization.

6455168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 6455168 is about 2540.7022651228. The cubic root of 6455168 is about 186.1955010733.

The spelling of 6455168 in words is "six million, four hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 37 47 58 64 74 94 116 128 148 188 232 296 376 464 592 752 928 1073 1184 1363 1504 1739 1856 2146 2368 2726 3008 3478 3712 4292 4736 5452 6016 6956 8584 10904 13912 17168 21808 27824 34336 43616 50431 55648 68672 87232 100862 111296 137344 174464 201724 222592 403448 806896 1613792 3227584 6455168