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20543985 = 32573113
BaseRepresentation
bin100111001011…
…1100111110001
31102122202001100
41032113213301
520224401420
62012155013
7336423000
oct116274761
942582040
1020543985
1110662000
126a68a69
134343c07
142a2ac37
151c0c190
hex13979f1

20543985 has 96 divisors (see below), whose sum is σ = 45676800. Its totient is φ = 8537760.

The previous prime is 20543969. The next prime is 20544001. The reversal of 20543985 is 58934502.

20543985 is a `hidden beast` number, since 20 + 543 + 98 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (20543969) and next prime (20544001).

It is not a de Polignac number, because 20543985 - 24 = 20543969 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1867630 + ... + 1867640.

It is an arithmetic number, because the mean of its divisors is an integer number (475800).

Almost surely, 220543985 is an apocalyptic number.

It is an amenable number.

20543985 is an abundant number, since it is smaller than the sum of its proper divisors (25132815).

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

20543985 is an equidigital number, since it uses as much as digits as its factorization.

20543985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 20543985 is about 4532.5472970505. The cubic root of 20543985 is about 273.8807844457.

It can be divided in two parts, 20543 and 985, that added together give a triangular number (21528 = T207).

The spelling of 20543985 in words is "twenty million, five hundred forty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 121 147 165 231 245 315 343 363 385 441 495 539 605 693 735 847 1029 1089 1155 1331 1617 1715 1815 2205 2541 2695 3087 3465 3773 3993 4235 4851 5145 5445 5929 6655 7623 8085 9317 11319 11979 12705 15435 17787 18865 19965 24255 27951 29645 33957 38115 41503 46585 53361 56595 59895 65219 83853 88935 124509 139755 169785 195657 207515 266805 326095 373527 419265 456533 586971 622545 978285 1369599 1867635 2282665 2934855 4108797 6847995 20543985