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20681466 = 23132941223
BaseRepresentation
bin100111011100…
…1001011111010
31102220201122020
41032321023322
520243301331
62015135310
7340534551
oct116711372
942821566
1020681466
1110746323
126b14536
134391670
142a64d98
151c37c96
hex13b92fa

20681466 has 64 divisors (see below), whose sum is σ = 47416320. Its totient is φ = 5967360.

The previous prime is 20681459. The next prime is 20681471. The reversal of 20681466 is 66418602.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92631 + ... + 92853.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 220681466 is an apocalyptic number.

20681466 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 20681466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708160).

20681466 is an abundant number, since it is smaller than the sum of its proper divisors (26734854).

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

20681466 is a wasteful number, since it uses less digits than its factorization.

20681466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20681466 is about 4547.6879840200. The cubic root of 20681466 is about 274.4903663163.

The spelling of 20681466 in words is "twenty million, six hundred eighty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 13 26 29 39 41 58 78 82 87 123 174 223 246 377 446 533 669 754 1066 1131 1189 1338 1599 2262 2378 2899 3198 3567 5798 6467 7134 8697 9143 12934 15457 17394 18286 19401 27429 30914 38802 46371 54858 84071 92742 118859 168142 237718 252213 265147 356577 504426 530294 713154 795441 1590882 3446911 6893822 10340733 20681466