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20732085 = 3351123607
BaseRepresentation
bin100111100010…
…1100010110101
31110000022002000
41033011202311
520301411320
62020205513
7341135253
oct117054265
943008060
1020732085
1110780360
126b39899
1343ab70a
142a795d3
151c47c90
hex13c58b5

20732085 has 64 divisors (see below), whose sum is σ = 42024960. Its totient is φ = 9599040.

The previous prime is 20732081. The next prime is 20732119. The reversal of 20732085 is 58023702.

It is not a de Polignac number, because 20732085 - 22 = 20732081 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20732081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 33852 + ... + 34458.

It is an arithmetic number, because the mean of its divisors is an integer number (656640).

Almost surely, 220732085 is an apocalyptic number.

20732085 is the 2277-th decagonal number.

It is an amenable number.

20732085 is an abundant number, since it is smaller than the sum of its proper divisors (21292875).

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

20732085 is a wasteful number, since it uses less digits than its factorization.

20732085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20732085 is about 4553.2499382309. The cubic root of 20732085 is about 274.7141271699.

Adding to 20732085 its reverse (58023702), we get a palindrome (78755787).

The spelling of 20732085 in words is "twenty million, seven hundred thirty-two thousand, eighty-five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 99 115 135 165 207 253 297 345 495 607 621 759 1035 1265 1485 1821 2277 3035 3105 3795 5463 6677 6831 9105 11385 13961 16389 20031 27315 33385 34155 41883 60093 69805 81945 100155 125649 153571 180279 209415 300465 376947 460713 628245 767855 901395 1382139 1884735 2303565 4146417 6910695 20732085