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2914065 = 325711292
BaseRepresentation
bin1011000111011100010001
312111001100100
423013130101
51221222230
6142243013
733524550
oct13073421
95431310
102914065
111710420
12b86469
137b04cb
1455bd97
153c8660
hex2c7711

2914065 has 72 divisors (see below), whose sum is σ = 6522048. Its totient is φ = 1169280.

The previous prime is 2914033. The next prime is 2914081. The reversal of 2914065 is 5604192.

2914065 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 2914065 - 25 = 2914033 is a prime.

2914065 is a lucky number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 100471 + ... + 100499.

It is an arithmetic number, because the mean of its divisors is an integer number (90584).

22914065 is an apocalyptic number.

It is an amenable number.

2914065 is an abundant number, since it is smaller than the sum of its proper divisors (3607983).

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

2914065 is a wasteful number, since it uses less digits than its factorization.

2914065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2914065 is about 1707.0632677203. The cubic root of 2914065 is about 142.8344866452.

It can be divided in two parts, 291 and 4065, that added together give a square (4356 = 662).

The spelling of 2914065 in words is "two million, nine hundred fourteen thousand, sixty-five".

Divisors: 1 3 5 7 9 11 15 21 29 33 35 45 55 63 77 87 99 105 145 165 203 231 261 315 319 385 435 495 609 693 841 957 1015 1155 1305 1595 1827 2233 2523 2871 3045 3465 4205 4785 5887 6699 7569 9135 9251 11165 12615 14355 17661 20097 27753 29435 33495 37845 46255 52983 64757 83259 88305 100485 138765 194271 264915 323785 416295 582813 971355 2914065