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20630700 = 223652283
BaseRepresentation
bin100111010110…
…0110010101100
31102211011000000
41032230302230
520240140300
62014104300
7340233546
oct116546254
942734000
1020630700
1110711172
126aab090
13437451c
142a50696
151c27c00
hex13accac

20630700 has 126 divisors (see below), whose sum is σ = 67359404. Its totient is φ = 5482080.

The previous prime is 20630699. The next prime is 20630711. The reversal of 20630700 is 703602.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 72759 + ... + 73041.

Almost surely, 220630700 is an apocalyptic number.

20630700 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 20630700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33679702).

20630700 is an abundant number, since it is smaller than the sum of its proper divisors (46728704).

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

20630700 is a wasteful number, since it uses less digits than its factorization.

20630700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 20630700 is about 4542.1030371404. The cubic root of 20630700 is about 274.2655886461.

The spelling of 20630700 in words is "twenty million, six hundred thirty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 283 300 324 405 450 486 540 566 675 729 810 849 900 972 1132 1215 1350 1415 1458 1620 1698 2025 2430 2547 2700 2830 2916 3396 3645 4050 4245 4860 5094 5660 6075 7075 7290 7641 8100 8490 10188 12150 12735 14150 14580 15282 16980 18225 21225 22923 24300 25470 28300 30564 36450 38205 42450 45846 50940 63675 68769 72900 76410 84900 91692 114615 127350 137538 152820 191025 206307 229230 254700 275076 343845 382050 412614 458460 573075 687690 764100 825228 1031535 1146150 1375380 1719225 2063070 2292300 3438450 4126140 5157675 6876900 10315350 20630700