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20688360 = 23357112239
BaseRepresentation
bin100111011101…
…0110111101000
31102221002002120
41032322313220
520244011420
62015231240
7340563630
oct116726750
942832076
1020688360
1110750520
126b18520
134394844
142a676c0
151c39d40
hex13bade8

20688360 has 128 divisors (see below), whose sum is σ = 77414400. Its totient is φ = 4296960.

The previous prime is 20688341. The next prime is 20688433. The reversal of 20688360 is 6388602.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 8121 + ... + 10359.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 220688360 is an apocalyptic number.

20688360 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 20688360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).

20688360 is an abundant number, since it is smaller than the sum of its proper divisors (56726040).

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

20688360 is a wasteful number, since it uses less digits than its factorization.

20688360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20688360 is about 4548.4458884327. The cubic root of 20688360 is about 274.5208626451.

The spelling of 20688360 in words is "twenty million, six hundred eighty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2239 2310 3080 4478 4620 6717 8956 9240 11195 13434 15673 17912 22390 24629 26868 31346 33585 44780 47019 49258 53736 62692 67170 73887 78365 89560 94038 98516 123145 125384 134340 147774 156730 172403 188076 197032 235095 246290 268680 295548 313460 344806 369435 376152 470190 492580 517209 591096 626920 689612 738870 862015 940380 985160 1034418 1379224 1477740 1724030 1880760 2068836 2586045 2955480 3448060 4137672 5172090 6896120 10344180 20688360