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20814066 = 23271397131
BaseRepresentation
bin100111101100…
…1100011110010
31110011110112100
41033121203302
520312022231
62022041230
7341626260
oct117314362
943143470
1020814066
1110826a09
126b79216
134409b20
142a9b430
151c621e6
hex13d98f2

20814066 has 96 divisors (see below), whose sum is σ = 56504448. Its totient is φ = 5391360.

The previous prime is 20814061. The next prime is 20814067. The reversal of 20814066 is 66041802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20814061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158821 + ... + 158951.

It is an arithmetic number, because the mean of its divisors is an integer number (588588).

Almost surely, 220814066 is an apocalyptic number.

20814066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20814066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28252224).

20814066 is an abundant number, since it is smaller than the sum of its proper divisors (35690382).

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

20814066 is a wasteful number, since it uses less digits than its factorization.

20814066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20814066 is about 4562.2435270380. The cubic root of 20814066 is about 275.0757521340.

Adding to 20814066 its reverse (66041802), we get a palindrome (86855868).

The spelling of 20814066 in words is "twenty million, eight hundred fourteen thousand, sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 97 117 126 131 182 194 234 262 273 291 393 546 582 679 786 819 873 917 1179 1261 1358 1638 1703 1746 1834 2037 2358 2522 2751 3406 3783 4074 5109 5502 6111 7566 8253 8827 10218 11349 11921 12222 12707 15327 16506 17654 22698 23842 25414 26481 30654 35763 38121 52962 71526 76242 79443 88949 107289 114363 158886 165191 177898 214578 228726 266847 330382 495573 533694 800541 991146 1156337 1486719 1601082 2312674 2973438 3469011 6938022 10407033 20814066