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21680780 = 22511217231
BaseRepresentation
bin101001010110…
…1001010001100
31111210111102212
41102231022030
521022241110
62052405552
7352166162
oct122551214
944714385
1021680780
1111269100
1273168b8
134651484
142c45232
151d83e05
hex14ad28c

21680780 has 108 divisors (see below), whose sum is σ = 54876864. Its totient is φ = 7180800.

The previous prime is 21680741. The next prime is 21680783. The reversal of 21680780 is 8708612.

It is not an unprimeable number, because it can be changed into a prime (21680783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 699365 + ... + 699395.

Almost surely, 221680780 is an apocalyptic number.

21680780 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 21680780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27438432).

21680780 is an abundant number, since it is smaller than the sum of its proper divisors (33196084).

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

21680780 is a wasteful number, since it uses less digits than its factorization.

21680780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 21680780 is about 4656.2624496478. The cubic root of 21680780 is about 278.8420717790.

The spelling of 21680780 in words is "twenty-one million, six hundred eighty thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 31 34 44 55 62 68 85 110 121 124 155 170 187 220 242 289 310 340 341 374 484 527 578 605 620 682 748 935 1054 1156 1210 1364 1445 1705 1870 2057 2108 2420 2635 2890 3179 3410 3740 3751 4114 5270 5780 5797 6358 6820 7502 8228 8959 10285 10540 11594 12716 15004 15895 17918 18755 20570 23188 28985 31790 34969 35836 37510 41140 44795 57970 63580 63767 69938 75020 89590 98549 115940 127534 139876 174845 179180 197098 255068 318835 349690 394196 492745 637670 699380 985490 1084039 1275340 1970980 2168078 4336156 5420195 10840390 21680780