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2082673890 = 2335114311627
BaseRepresentation
bin111110000100011…
…0001010011100010
312101010220210111000
41330020301103202
513231131031030
6542354532430
7102416302353
oct17410612342
95333823430
102082673890
119796847a0
124a1597116
1327263281b
1415a859d2a
15c2c93860
hex7c2314e2

2082673890 has 128 divisors (see below), whose sum is σ = 6076477440. Its totient is φ = 503409600.

The previous prime is 2082673883. The next prime is 2082673907. The reversal of 2082673890 is 983762802.

2082673890 is a `hidden beast` number, since 2 + 0 + 8 + 267 + 389 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1279257 + ... + 1280883.

It is an arithmetic number, because the mean of its divisors is an integer number (47472480).

Almost surely, 22082673890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082673890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038238720).

2082673890 is an abundant number, since it is smaller than the sum of its proper divisors (3993803550).

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

2082673890 is a wasteful number, since it uses less digits than its factorization.

2082673890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2082673890 is about 45636.3220472465. The cubic root of 2082673890 is about 1277.0476163961.

The spelling of 2082673890 in words is "two billion, eighty-two million, six hundred seventy-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 431 495 594 862 990 1293 1485 1627 2155 2586 2970 3254 3879 4310 4741 4881 6465 7758 8135 9482 9762 11637 12930 14223 14643 16270 17897 19395 23274 23705 24405 28446 29286 35794 38790 42669 43929 47410 48810 53691 58185 71115 73215 85338 87858 89485 107382 116370 128007 142230 146430 161073 178970 213345 219645 256014 268455 322146 426690 439290 483219 536910 640035 701237 805365 966438 1280070 1402474 1610730 2103711 2416095 3506185 4207422 4832190 6311133 7012370 7713607 10518555 12622266 15427214 18933399 21037110 23140821 31555665 37866798 38568035 46281642 63111330 69422463 77136070 94666995 115704105 138844926 189333990 208267389 231408210 347112315 416534778 694224630 1041336945 2082673890