Search a number
-
+
6555168 = 2536281
BaseRepresentation
bin11001000000011000100000
3110100001000000
4121000120200
53134231133
6352300000
7106501164
oct31003040
913301000
106555168
113777aa4
122241600
1314868c9
14c28ca4
15897413
hex640620

6555168 has 84 divisors (see below), whose sum is σ = 19418238. Its totient is φ = 2177280.

The previous prime is 6555139. The next prime is 6555169. The reversal of 6555168 is 8615556.

It can be written as a sum of positive squares in only one way, i.e., 5143824 + 1411344 = 2268^2 + 1188^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6555169) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23188 + ... + 23468.

Almost surely, 26555168 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 6555168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9709119).

6555168 is an abundant number, since it is smaller than the sum of its proper divisors (12863070).

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

6555168 is an equidigital number, since it uses as much as digits as its factorization.

6555168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 286 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 6555168 is about 2560.3062316840. The cubic root of 6555168 is about 187.1520587294.

The spelling of 6555168 in words is "six million, five hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 281 288 324 432 486 562 648 729 843 864 972 1124 1296 1458 1686 1944 2248 2529 2592 2916 3372 3888 4496 5058 5832 6744 7587 7776 8992 10116 11664 13488 15174 20232 22761 23328 26976 30348 40464 45522 60696 68283 80928 91044 121392 136566 182088 204849 242784 273132 364176 409698 546264 728352 819396 1092528 1638792 2185056 3277584 6555168