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2668575 = 3527131723
BaseRepresentation
bin1010001011100000011111
312000120121010
422023200133
51140343300
6133110303
731453050
oct12134037
95016533
102668575
111562a38
12a88393
13725850
144d6727
1537aa50
hex28b81f

2668575 has 96 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 1013760.

The previous prime is 2668571. The next prime is 2668577. The reversal of 2668575 is 5758662.

It is a happy number.

2668575 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2668575 - 22 = 2668571 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a d-powerful number, because it can be written as 219 + 6 + 66 + 87 + 5 + 73 + 53 .

2668575 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668571) 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 95 ways as a sum of consecutive naturals, for example, 116014 + ... + 116036.

It is an arithmetic number, because the mean of its divisors is an integer number (62496).

22668575 is an apocalyptic number.

2668575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2668575 is an abundant number, since it is smaller than the sum of its proper divisors (3331041).

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

2668575 is a wasteful number, since it uses less digits than its factorization.

2668575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 68 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 2668575 is about 1633.5773627227. The cubic root of 2668575 is about 138.7053260933.

The spelling of 2668575 in words is "two million, six hundred sixty-eight thousand, five hundred seventy-five".

Divisors: 1 3 5 7 13 15 17 21 23 25 35 39 51 65 69 75 85 91 105 115 119 161 175 195 221 255 273 299 325 345 357 391 425 455 483 525 575 595 663 805 897 975 1105 1173 1275 1365 1495 1547 1725 1785 1955 2093 2275 2415 2737 2975 3315 4025 4485 4641 5083 5525 5865 6279 6825 7475 7735 8211 8925 9775 10465 12075 13685 15249 16575 22425 23205 25415 29325 31395 35581 38675 41055 52325 68425 76245 106743 116025 127075 156975 177905 205275 381225 533715 889525 2668575