Search a number
-
+
6168144 = 243177559
BaseRepresentation
bin10111100001111001010000
3102121101002210
4113201321100
53034340034
6340112120
7103266633
oct27417120
912541083
106168144
113533244
122095640
13137c6b8
14b67c1a
1581c8e9
hex5e1e50

6168144 has 40 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1934848.

The previous prime is 6168143. The next prime is 6168167. The reversal of 6168144 is 4418616.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6168143) 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, 2964 + ... + 4595.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 26168144 is an apocalyptic number.

It is an amenable number.

6168144 is an abundant number, since it is smaller than the sum of its proper divisors (10705776).

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

6168144 is a wasteful number, since it uses less digits than its factorization.

6168144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7587 (or 7581 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 6168144 is about 2483.5748428425. The cubic root of 6168144 is about 183.3938782584.

The spelling of 6168144 in words is "six million, one hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 7559 15118 22677 30236 45354 60472 90708 120944 128503 181416 257006 362832 385509 514012 771018 1028024 1542036 2056048 3084072 6168144