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2755168 = 251337179
BaseRepresentation
bin1010100000101001100000
312011222101021
422200221200
51201131133
6135015224
732263363
oct12405140
95158337
102755168
111611aa9
12b0a514
137560a0
1451a0da
1539652d
hex2a0a60

2755168 has 48 divisors (see below), whose sum is σ = 6032880. Its totient is φ = 1230336.

The previous prime is 2755163. The next prime is 2755177. The reversal of 2755168 is 8615572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15303 + ... + 15481.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

22755168 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 2755168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016440).

2755168 is an abundant number, since it is smaller than the sum of its proper divisors (3277712).

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

2755168 is a wasteful number, since it uses less digits than its factorization.

2755168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its digits is 16800, while the sum is 34.

The square root of 2755168 is about 1659.8698744179. The cubic root of 2755168 is about 140.1896748813.

The spelling of 2755168 in words is "two million, seven hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 179 208 296 358 416 481 592 716 962 1184 1432 1924 2327 2864 3848 4654 5728 6623 7696 9308 13246 15392 18616 26492 37232 52984 74464 86099 105968 172198 211936 344396 688792 1377584 2755168