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20517084 = 2233723877
BaseRepresentation
bin100111001000…
…1000011011100
31102121101011000
41032101003130
520223021314
62011430300
7336251400
oct116210334
942541130
1020517084
1110643875
126a55390
1343348b3
142a21100
151c04209
hex13910dc

20517084 has 72 divisors (see below), whose sum is σ = 61892880. Its totient is φ = 5860512.

The previous prime is 20517067. The next prime is 20517109. The reversal of 20517084 is 48071502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3354 + ... + 7230.

Almost surely, 220517084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20517084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30946440).

20517084 is an abundant number, since it is smaller than the sum of its proper divisors (41375796).

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

20517084 is a wasteful number, since it uses less digits than its factorization.

20517084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 20517084 is about 4529.5787883643. The cubic root of 20517084 is about 273.7611892593.

Adding to 20517084 its reverse (48071502), we get a palindrome (68588586).

The spelling of 20517084 in words is "twenty million, five hundred seventeen thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 3877 5292 7754 11631 15508 23262 27139 34893 46524 54278 69786 81417 104679 108556 139572 162834 189973 209358 244251 325668 379946 418716 488502 569919 732753 759892 977004 1139838 1465506 1709757 2279676 2931012 3419514 5129271 6839028 10258542 20517084