Search a number
-
+
20796160 = 285711211
BaseRepresentation
bin100111101010…
…1001100000000
31110010112222011
41033111030000
520310434120
62021422304
7341523130
oct117251400
943115864
1020796160
1110814510
126b6a994
134401928
142a94ac0
151c5bc5a
hex13d5300

20796160 has 144 divisors (see below), whose sum is σ = 62399232. Its totient is φ = 6451200.

The previous prime is 20796077. The next prime is 20796179. The reversal of 20796160 is 6169702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98455 + ... + 98665.

It is an arithmetic number, because the mean of its divisors is an integer number (433328).

Almost surely, 220796160 is an apocalyptic number.

20796160 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 20796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31199616).

20796160 is an abundant number, since it is smaller than the sum of its proper divisors (41603072).

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

20796160 is a wasteful number, since it uses less digits than its factorization.

20796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 20796160 is about 4560.2806931153. The cubic root of 20796160 is about 274.9968484487.

The spelling of 20796160 in words is "twenty million, seven hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 211 220 224 256 280 308 320 352 385 422 440 448 560 616 640 704 770 844 880 896 1055 1120 1232 1280 1408 1477 1540 1688 1760 1792 2110 2240 2321 2464 2816 2954 3080 3376 3520 4220 4480 4642 4928 5908 6160 6752 7040 7385 8440 8960 9284 9856 11605 11816 12320 13504 14080 14770 16247 16880 18568 19712 23210 23632 24640 27008 29540 32494 33760 37136 46420 47264 49280 54016 59080 64988 67520 74272 81235 92840 94528 98560 118160 129976 135040 148544 162470 185680 189056 236320 259952 270080 297088 324940 371360 378112 472640 519904 594176 649880 742720 945280 1039808 1299760 1485440 1890560 2079616 2599520 2970880 4159232 5199040 10398080 20796160