Search a number
-
+
6675168 = 253312243
BaseRepresentation
bin11001011101101011100000
3110120010121110
4121131223200
53202101133
6355023320
7110511063
oct31355340
913503543
106675168
11384a175
12229ab40
1314c9406
14c5a8da
158bcc63
hex65dae0

6675168 has 48 divisors (see below), whose sum is σ = 18095616. Its totient is φ = 2152320.

The previous prime is 6675161. The next prime is 6675181. The reversal of 6675168 is 8615766.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6675161) 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, 1855 + ... + 4097.

It is an arithmetic number, because the mean of its divisors is an integer number (376992).

Almost surely, 26675168 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 6675168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9047808).

6675168 is an abundant number, since it is smaller than the sum of its proper divisors (11420448).

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

6675168 is a wasteful number, since it uses less digits than its factorization.

6675168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2279 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 6675168 is about 2583.6346490942. The cubic root of 6675168 is about 188.2871724043.

The spelling of 6675168 in words is "six million, six hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2243 2976 4486 6729 8972 13458 17944 26916 35888 53832 69533 71776 107664 139066 208599 215328 278132 417198 556264 834396 1112528 1668792 2225056 3337584 6675168