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2164890 = 235713261
BaseRepresentation
bin1000010000100010011010
311001222200010
420100202122
51023234030
6114222350
724254430
oct10204232
94058603
102164890
111249572
128849b6
135aa500
14404d50
152cb6b0
hex21089a

2164890 has 96 divisors (see below), whose sum is σ = 6535296. Its totient is φ = 449280.

The previous prime is 2164859. The next prime is 2164901. The reversal of 2164890 is 984612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35460 + ... + 35520.

It is an arithmetic number, because the mean of its divisors is an integer number (68076).

22164890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267648).

2164890 is an abundant number, since it is smaller than the sum of its proper divisors (4370406).

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

2164890 is a wasteful number, since it uses less digits than its factorization.

2164890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2164890 is about 1471.3565169598. The cubic root of 2164890 is about 129.3635558969.

The spelling of 2164890 in words is "two million, one hundred sixty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 61 65 70 78 91 105 122 130 169 182 183 195 210 273 305 338 366 390 427 455 507 546 610 793 845 854 910 915 1014 1183 1281 1365 1586 1690 1830 2135 2366 2379 2535 2562 2730 3549 3965 4270 4758 5070 5551 5915 6405 7098 7930 10309 11102 11830 11895 12810 16653 17745 20618 23790 27755 30927 33306 35490 51545 55510 61854 72163 83265 103090 144326 154635 166530 216489 309270 360815 432978 721630 1082445 2164890