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2912085 = 335113753
BaseRepresentation
bin1011000110111101010101
312110221122000
423012331111
51221141320
6142225513
733516021
oct13067525
95427560
102912085
111709990
12b85299
137ac637
1455b381
153c7c90
hex2c6f55

2912085 has 64 divisors (see below), whose sum is σ = 5909760. Its totient is φ = 1347840.

The previous prime is 2912081. The next prime is 2912131. The reversal of 2912085 is 5802192.

It is not a de Polignac number, because 2912085 - 22 = 2912081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

2912085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2912081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54919 + ... + 54971.

It is an arithmetic number, because the mean of its divisors is an integer number (92340).

22912085 is an apocalyptic number.

It is an amenable number.

2912085 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2912085 is a wasteful number, since it uses less digits than its factorization.

2912085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2912085 is about 1706.4832258185. The cubic root of 2912085 is about 142.8021290552.

The spelling of 2912085 in words is "two million, nine hundred twelve thousand, eighty-five".

Divisors: 1 3 5 9 11 15 27 33 37 45 53 55 99 111 135 159 165 185 265 297 333 407 477 495 555 583 795 999 1221 1431 1485 1665 1749 1961 2035 2385 2915 3663 4995 5247 5883 6105 7155 8745 9805 10989 15741 17649 18315 21571 26235 29415 52947 54945 64713 78705 88245 107855 194139 264735 323565 582417 970695 2912085