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21091680 = 2532597151
BaseRepresentation
bin101000001110…
…1010101100000
31110200120100100
41100131111200
520344413210
62032022400
7344163531
oct120352540
943616310
1021091680
11109a6545
127091a00
1344a62ac
142b30688
151cb95c0
hex141d560

21091680 has 144 divisors (see below), whose sum is σ = 73198944. Its totient is φ = 5529600.

The previous prime is 21091663. The next prime is 21091703. The reversal of 21091680 is 8619012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139605 + ... + 139755.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 221091680 is an apocalyptic number.

21091680 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 21091680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36599472).

21091680 is an abundant number, since it is smaller than the sum of its proper divisors (52107264).

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

21091680 is a wasteful number, since it uses less digits than its factorization.

21091680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 21091680 is about 4592.5679091332. The cubic root of 21091680 is about 276.2933239451.

The spelling of 21091680 in words is "twenty-one million, ninety-one thousand, six hundred eighty".

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 90 96 97 120 144 151 160 180 194 240 288 291 302 360 388 453 480 485 582 604 720 755 776 873 906 970 1164 1208 1359 1440 1455 1510 1552 1746 1812 1940 2265 2328 2416 2718 2910 3020 3104 3492 3624 3880 4365 4530 4656 4832 5436 5820 6040 6795 6984 7248 7760 8730 9060 9312 10872 11640 12080 13590 13968 14496 14647 15520 17460 18120 21744 23280 24160 27180 27936 29294 34920 36240 43488 43941 46560 54360 58588 69840 72480 73235 87882 108720 117176 131823 139680 146470 175764 217440 219705 234352 263646 292940 351528 439410 468704 527292 585880 659115 703056 878820 1054584 1171760 1318230 1406112 1757640 2109168 2343520 2636460 3515280 4218336 5272920 7030560 10545840 21091680