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2683890 = 2325112711
BaseRepresentation
bin1010001111001111110010
312001100121100
422033033302
51141341030
6133305230
731545516
oct12171762
95040540
102683890
1115734a0
12a95216
1372c801
144dc146
15380360
hex28f3f2

2683890 has 48 divisors (see below), whose sum is σ = 7615296. Its totient is φ = 650400.

The previous prime is 2683861. The next prime is 2683897. The reversal of 2683890 is 983862.

It is a d-powerful number, because it can be written as 213 + 65 + 85 + 312 + 87 + 94 + 0 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2683897) 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 23 ways as a sum of consecutive naturals, for example, 366 + ... + 2345.

It is an arithmetic number, because the mean of its divisors is an integer number (158652).

22683890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2683890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807648).

2683890 is an abundant number, since it is smaller than the sum of its proper divisors (4931406).

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

2683890 is a wasteful number, since it uses less digits than its factorization.

2683890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2683890 is about 1638.2582214047. The cubic root of 2683890 is about 138.9701642224.

The spelling of 2683890 in words is "two million, six hundred eighty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2711 5422 8133 13555 16266 24399 27110 29821 40665 48798 59642 81330 89463 121995 149105 178926 243990 268389 298210 447315 536778 894630 1341945 2683890