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2780085 = 357112983
BaseRepresentation
bin1010100110101110110101
312020020120010
422212232311
51202430320
6135330433
732426130
oct12465665
95206503
102780085
1116297a0
12b20a19
13764529
14525217
1539dae0
hex2a6bb5

2780085 has 64 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 1102080.

The previous prime is 2780083. The next prime is 2780101. The reversal of 2780085 is 5800872.

It is not a de Polignac number, because 2780085 - 21 = 2780083 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780083) 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, 33454 + ... + 33536.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

22780085 is an apocalyptic number.

It is an amenable number.

2780085 is an abundant number, since it is smaller than the sum of its proper divisors (3025995).

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

2780085 is a wasteful number, since it uses less digits than its factorization.

2780085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 2780085 is about 1667.3586896646. The cubic root of 2780085 is about 140.6110198448.

It can be divided in two parts, 2 and 780085, that added together give a palindrome (780087).

The spelling of 2780085 in words is "two million, seven hundred eighty thousand, eighty-five".

Divisors: 1 3 5 7 11 15 21 29 33 35 55 77 83 87 105 145 165 203 231 249 319 385 415 435 581 609 913 957 1015 1155 1245 1595 1743 2233 2407 2739 2905 3045 4565 4785 6391 6699 7221 8715 11165 12035 13695 16849 19173 26477 31955 33495 36105 50547 79431 84245 95865 132385 185339 252735 397155 556017 926695 2780085