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20676960 = 2532583173
BaseRepresentation
bin100111011100…
…0000101100000
31102220111110100
41032320011200
520243130320
62015102400
7340515453
oct116700540
942814410
1020676960
11107429a7
126b11a00
13438c5b5
142a6349a
151c36790
hex13b8160

20676960 has 144 divisors (see below), whose sum is σ = 71823024. Its totient is φ = 5415936.

The previous prime is 20676919. The next prime is 20676961. The reversal of 20676960 is 6967602.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20676961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119434 + ... + 119606.

It is an arithmetic number, because the mean of its divisors is an integer number (498771).

Almost surely, 220676960 is an apocalyptic number.

20676960 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 20676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35911512).

20676960 is an abundant number, since it is smaller than the sum of its proper divisors (51146064).

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

20676960 is a wasteful number, since it uses less digits than its factorization.

20676960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 20676960 is about 4547.1925404583. The cubic root of 20676960 is about 274.4704298922.

The spelling of 20676960 in words is "twenty million, six hundred seventy-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 83 90 96 120 144 160 166 173 180 240 249 288 332 346 360 415 480 498 519 664 692 720 747 830 865 996 1038 1245 1328 1384 1440 1494 1557 1660 1730 1992 2076 2490 2595 2656 2768 2988 3114 3320 3460 3735 3984 4152 4980 5190 5536 5976 6228 6640 6920 7470 7785 7968 8304 9960 10380 11952 12456 13280 13840 14359 14940 15570 16608 19920 20760 23904 24912 27680 28718 29880 31140 39840 41520 43077 49824 57436 59760 62280 71795 83040 86154 114872 119520 124560 129231 143590 172308 215385 229744 249120 258462 287180 344616 430770 459488 516924 574360 646155 689232 861540 1033848 1148720 1292310 1378464 1723080 2067696 2297440 2584620 3446160 4135392 5169240 6892320 10338480 20676960