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2830905 = 3257111943
BaseRepresentation
bin1010110011001000111001
312022211021100
422303020321
51211042110
6140402013
733030240
oct12631071
95284240
102830905
1116639a0
12b46309
137816bc
14539957
153adbc0
hex2b3239

2830905 has 96 divisors (see below), whose sum is σ = 6589440. Its totient is φ = 1088640.

The previous prime is 2830897. The next prime is 2830913. The reversal of 2830905 is 5090382.

2830905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2830897) and next prime (2830913).

It is not a de Polignac number, because 2830905 - 23 = 2830897 is a prime.

It is a Curzon 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 95 ways as a sum of consecutive naturals, for example, 65814 + ... + 65856.

It is an arithmetic number, because the mean of its divisors is an integer number (68640).

22830905 is an apocalyptic number.

It is an amenable number.

2830905 is an abundant number, since it is smaller than the sum of its proper divisors (3758535).

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

2830905 is a wasteful number, since it uses less digits than its factorization.

2830905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 88 counting only the distinct ones).

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

The square root of 2830905 is about 1682.5293459551. The cubic root of 2830905 is about 141.4626421042.

The spelling of 2830905 in words is "two million, eight hundred thirty thousand, nine hundred five".

Divisors: 1 3 5 7 9 11 15 19 21 33 35 43 45 55 57 63 77 95 99 105 129 133 165 171 209 215 231 285 301 315 385 387 399 473 495 627 645 665 693 817 855 903 1045 1155 1197 1419 1463 1505 1881 1935 1995 2365 2451 2709 3135 3311 3465 4085 4257 4389 4515 5719 5985 7095 7315 7353 8987 9405 9933 12255 13167 13545 16555 17157 21285 21945 26961 28595 29799 36765 44935 49665 51471 62909 65835 80883 85785 134805 148995 188727 257355 314545 404415 566181 943635 2830905