Search a number
-
+
20683080 = 23335111741
BaseRepresentation
bin100111011100…
…1100101001000
31102220210212000
41032321211020
520243324310
62015151000
7340542345
oct116714510
942823760
1020683080
1110747560
126b15460
134392312
142a657cc
151c384c0
hex13b9948

20683080 has 128 divisors (see below), whose sum is σ = 75254400. Its totient is φ = 5011200.

The previous prime is 20683063. The next prime is 20683123. The reversal of 20683080 is 8038602.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11010 + ... + 12750.

It is an arithmetic number, because the mean of its divisors is an integer number (587925).

Almost surely, 220683080 is an apocalyptic number.

20683080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20683080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37627200).

20683080 is an abundant number, since it is smaller than the sum of its proper divisors (54571320).

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

20683080 is a wasteful number, since it uses less digits than its factorization.

20683080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20683080 is about 4547.8654333654. The cubic root of 20683080 is about 274.4975066213.

The spelling of 20683080 in words is "twenty million, six hundred eighty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1741 1980 2376 2970 3482 3960 5223 5940 6964 8705 10446 11880 13928 15669 17410 19151 20892 26115 31338 34820 38302 41784 47007 52230 57453 62676 69640 76604 78345 94014 95755 104460 114906 125352 153208 156690 172359 188028 191510 208920 229812 235035 287265 313380 344718 376056 383020 459624 470070 517077 574530 626760 689436 766040 861795 940140 1034154 1149060 1378872 1723590 1880280 2068308 2298120 2585385 3447180 4136616 5170770 6894360 10341540 20683080